Hello, my name is Jose Amorós first of all I wish you a warm welcome to my blog. It will be a pleasure to share with all of you information about my career and thus evaluate knowledge that will be beneficial for both of us. Now that you know me, I give you a warm welcome and thank you for visiting my profile. Do not hesitate to contact me. I will answer all your questions and doubts that you have, greetings and welcome!
Upbeat music, Sponsored brands can help grow your brand and put your products in front of the right audiences in the Amazon Store It’s easy to set up your first Sponsored Brands campaign During this video we’ll show you how to create your campaign. Choose a goal that matches your advertising objective, select a suitable ad format and pick a targeting option based on keyword or product insights Start by signing into your account via the Advertising Console and selecting Sponsored Brands campaign.
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We suggest using theme targeting which is a curated set of frequently updated keywords that helps simplify the campaign creation process and improve campaign performance.
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look just whever jump scare happy Halloween I'm to that for you cuz you would never be don't go don't look at me I'm [Music] hideous I'm going to you [Applause] [Music] you used to call me my eye a you hit the my hand oh you used to call me on my cell phone [Music] stop big shows Big Ideas I won't let you down sir better not or I'll throw you off the roof I won't let you down sir you better not or I'll throw you off the roof I won't let you down sir better not or I'll throw you off the roof ta oh shoot I'm stuck tippy toes tippy toes I don't see your tippy toes Tippy to tippy toes I don't see your Tippy to No I say itpp only I say [Music] it what ryp how do I know that you're not a weirdo I feeling Len carefully I knew you were a weirdo how do I know that you're not a weirdo how do I know that you're not a weirdo how do I know that you're legit M been shaking crazy take vision baby there's nothing holding me back I knew you were a rare do can I try no no no can I try it's flying W here 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maybe I should let sleep okay wake up buddy it's walk o00 should let him [Music] sleep wake up to let him sleep okay [Music] [Applause] [Music] just iron that out and should call me Iron Man [Music] no they should call me Iron Man no what is new with you fellow normal dog I bit the FedEx guy the other day what's new with you fellow normal dog m i bit the FedEx guy the other day who was he working for General Zod the Legion of Doom FedEx of course the Federation of x's what is taking my owner so long who's he working for leg dog who's he's working for the legend dog who's he working for the legend Zod the Legion of Doom General Zod the Legion of Doom who's he working for General Zod do we think up D yay I celebrate she got it she got it after like 3,000 tries three, tries who's he working for General Zod the Le up dude uh FedEx of of course the Federation of Tes what is taking my owner so long own so long all of us have super powers so I didn't get any super [Music] powers sorry you 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So this is finally the video where I tell you
about my solo D&D Campaign where I play by myself because I'm too anxious
to play with a group. Now, if you have no idea what I'm talking about, please go watch my character introductions video where I set up the characters
and the world build for you. And I also explain a little bit what Solo D&D is, but if you're lazy and I get it,
we all get lazy. Here's a quick summary. So our characters live in the typical world that you would think of
when you hear Dungeons and Dragons. You know, people fight
dragons… and go to dungeons… But in this story, my characters
live in a place called Mistwind, which is a mixture of the Regency
and Victorian eras. Think like Jane Austen
plus Charles Dickens time period. But, a little yassified like Bridgerton. Except there are elves and goblins
and like tieflings or whatever. And in this place,
the magic is kept a secret. There is a bubble of mist around the kingdom,
kind of like the mist in Percy Jackson.
And it hides
magical things from people’s sight. And yes, I really did just kind
of rip that off of Percy Jackson. In Mistwind, people are also kept
strictly inside the kingdom. They're not even aware
of the outside world where it's normal for people to fight dragons,
I guess, and go to Dungeons. So you can probably already tell by now But this story is about my main characters
finding out about all of that. And we're going to see
what the hell they do about it. Now, I want to emphasize that
I am not trying to be like Brennan Lee Mulligan or Matt Mercer. I'm not as smart as them. This is just what I came up with while
I was rolling dice and doing bad accents. So don't take it too seriously, please.
So I'm going to trust that
you did what I said and watched the intro video,
and I'm going to assume that, you know, the characters
Eleanor, Charles and Evangeline. But the thing is… I didn't actually include stuff
about Eleanor's family in that video, And it's kind of important. So I'm going to share it right now. We're going to go back to Eleanor's dad, Frederick Thorne, her father. He was just a normal guy, you know, giving poor, giving, common.
And so he enlisted and became a soldier. As a soldier, turns out he's
actually really good at fighting. And so he becomes one of the greatest
generals in Mistwind history. When the war ends, the monarch of Mistwind
is so impressed with him They're like,
Hey, dude, you're pretty cool. Thank you for your service. Here's a million dollars! and also a big house and you have a place in high society now.
Enjoy. So after that, Frederick is like,
Wow, I'm rich. I should get married. And so he marries his sweetheart,
Lenore Covington. Lenore is a fellow soldier
who he met after enlisting. They end up having two daughters, Louvinia or Lou, for short,
the older sister. And also our main character, Eleanor, the very chaotic and messy younger sister. So we've got like a pretty nice family
going on here, other than maybe Eleanor is the black sheep.
In Society’s eyes, this family was, like,
pretty well respected. The parents, Frederick and Lenore,
were seen as a pretty powerful couple. That is, until the dice decided
it was time for problem. So the war was over, and Frederick doesn’t adjust to the peace very well. He just feels like
he lost his sense of purpose. He used to be this big deal General, and
he felt like he was making a difference. But now he's just going to balls,
and dancing, and talking to rich people They don't have jobs. And so he kind of feels like useless. Plus, he doesn't really find enjoyment
in this wealthy lifestyle of mingling at social events and dancing
and going and dinners and stuff. And so Frederick decides
that he needs to find something, just anything to do.
So he turns to his library
and he becomes a huge nerd. While reading,
he discovers something huge. He starts to see references to magic
in textbooks, you know, bits and pieces of information, essentially evidence that magic exists and is REAL. So he hyperfixates on this. And if you've ever hyperfixated on anything, you know exactly how this feels. OBSESSION. He gets into it
and he decides that he just needs to find out more
about the possibility of magic being real.
So when her husband starts
to lock himself up in his library and obsessively study books and magic Lenore starts to get the ick. She's like, You think magic is real? What's going on? We have a dinner to go to,
and now you don't want to go? because you want to read?
because you're a nerd?! And so that's basically
what's happening in their marriage. And if we know anything
about high society, you know, you know, that people are going to gossip. So people are like,
Hey, what's going on with the Thornes? Did you hear what happened? Lenore showed up alone. Where is her husband? What's going on? And they like, rub their evil hands,
and start to gossip even more. Eventually, the situation gets worse. Lenore is just getting, like,
ultra ick from Frederick. And Frederick’s just like kind
of minding his own business and, you know, studying and reading. And so Lenore decides that she's going
to start living somewhere else.
And they essentially separate. She kind of just up and leaves him. I don't think she even talked to him about it. And so society rubbing their evil hands is absolutely
eating up this gossip. They’re like,
“yo, Lenore doesn't live with him anymore.” Did he cheat on her? Is she living with another man?
what's going on? Frederick kind of stopped showing up in
public as much, so they don't really know what's going on with him
until he starts to slowly show up again. But whenever he did,
he would talk about magic. People are like, Hey, this guy, he believes magic is real. What a loser. What a nerd. You know, everyone's just laughing at him
and making fun of him. And so the Thornes,
who were once a pretty well respected family, now have a terrible reputation. And Eleanor didn't really have
a good reputation to begin with, because she's just a bundle of chaos.
But now everything that's going on
with her parents has made it even worse. The only thing that's really keeping it
intact is her friendship with Charles, because he's a duke
and has a lot of power and prestige. The two women in her life, her
mother and sister, don't really like her because she has less than satisfactory
manners and etiquette. But they're both kind of
out of the picture now. Her mom moved out
and her sister also moved out because Lou got married some time ago. And so now she's just with her dad in the house alone,
except for the servants. And honestly,
she really doesn't see him that much. They don't talk as much as they used to
because he's just holed up in his room all the time. It's a very lonely situation
and also a boring situation for Eleanor.
So she's just kind of running around
all the time trying to find entertainment for herself,
which usually entails bothering Charles. So yeah, that's her family's backstory. There was actually way more than I wanted
to talk about and blabber on about, but I'm trying to give this video
at least some structure, so I'm going to finally
talk about the campaign. So we begin with Eleanor
scheming up a plan in her room. She's bored. Nothing much is happening,
so she decides it's time to go out, perhaps dressed like a man, maybe sneak into a gentlemen's club, you know, just to see
what the heck is going on in there.
So she needs some masculine
clothes, and Eleanor thinks, I'll just ask one of the footmen
to borrow their clothes. And before she has the servants hall,
which is downstairs, she picks out the hallway
to see if the coast is clear. Because ever since her
dad became a recluse, their butler, Humphreys, has kind of
become the guy to scold Eleanor and keep her from
causing too much trouble. And she knows that she's not supposed to go downstairs and bother the servants
while they're working. But she looks down the hallway
and the coast is clear. So Eleanor basically just starts
running down the stairs to the basement. The servants at the moment
are just chilling since they're on break. Then they hear the frantic
thudding of Eleanor running down the stairs, which to them at this
point is a pretty familiar sound.
It's a common occurrence
that she just comes down and bothers them. They're just like, Well, here
she comes again. So Eleanor barges in and is like, Hello? And she asked to speak to Benison,
who is the footman. Benison is like, hi. Hi, Ms.. Thorne. What do you need today? And he's like a little shy because
he actually has a little crush on her. And Eleanor is like,
I need to borrow some of your clothes. And before she can really elaborate. She gets interrupted by the booming voice
of their butler, Humphreys. He is like this old guy who very much
gives off the vibe of a tired old man.
He is essentially Eleanor's
second father figure, and once he sees Eleanor here,
he isn't even really surprised. He just starts to scold her, saying
that like, you shouldn't be down here, you know, not to bother
the servants. Go back upstairs. And Eleanor tries to protest, like,
I just like, I just need a little something
from Benison. It's very quick. But Humphreys is not having it
and she fails the persuasion check and he promptly tells her to go back
upstairs and he's like, This is final. And so she stops resisting. But as she's leaving, she hears Humphreys tell the other servants to get ready
because the general will wake soon. And when she hears it, she's like, my God. Right. I have a dad. I should steal his clothes. And so she does exactly that,
basically belonging to her dad's room,
which is a couple rooms away from her own.
Before she cracks open the door,
she's thinking this should be easy enough
since he's probably passed out. Right. After a sleepless night of reading. And so she opens the door,
and once she's in the dark room, she's actually able to see pretty well
because of her darkvision. And the way this works in Mistwind, is that the D&D races that have darkvision are kind of just known to be people
who can see pretty well in the dark.
And this is just normal to them. It doesn't make them super different. It's just like a trait
that some people have. And so the people in Mistwind. aren't aware that these are traits
that they have because they're elves or dwarves
or whatever. They don't see it as a fantastical thing. And so Eleanor steps into her dad's room
and she sees him sprawled on his armchair, asleep
in the corner with a book in his lap. And she does this thing where she,
like just quickly of averts her gaze kind of like instinctively, and instead
looks to his bed, where she sees his clothes have been laid out for him
by his valet or valet or whatever. But as soon as she goes to take it,
she just does this like slight glance at her dad. And what she sees in that slight glance makes this feeling of dread wash over her for the first time in a long time,
she actually looks at her dad, and that's something
that she's been avoiding because she's afraid of the changes
that she'll see in him.
She now sees that he's lost weight. His hair has grown out. He has facial hair,
and he just generally looks like he doesn't take care of himself. So Eleanor just hides like this, this feeling of, like, dread and sadness
wash over her. Right. But she decides to keep doing what
she's doing and she pushes past it. She neglects it. She bottles it away,
and she once again chooses to look away. She grabs the clothes and without even taking another
look at her, dad, leaves the room, And now we switch to our other main character, Charles, the Duke of Longford, who actually lives
not too far away from Eleanor. So while Eleanor's family is rich,
they're pretty well-off. Charles on the other hand, is filthy rich. Wentworth House, which is Charles's
home, has its own space in the city. Usually most people have townhomes,
which are connected in lines called terraces or crescents,
but he doesn't have that Wentworth House has its own space,
which is a pretty big deal here in Mistwind So as opposed to the gloomy quietness
of Eleanor's house, Charles's house has a voluntary peace to it because that's exactly
the way he likes it.
He actually prefers the quiet space
and the vibe of an empty house. He's an only child
and his parents are dead, and he's honestly not really close
to anyone else in his family. So he's definitely a bit of a loner. So no one really visits him
except for Eleanor, who honestly just barges in
whenever she wants to. And it's really only loud
in Wentworth House when Eleanor is there causing a ruckus and stressing
Charles out. So right now it's around
noon and people in high society typically wake up late in the day
because, well, they're unemployed
and have no responsibilities. But Charles is actually
a bit of a morning person. He likes to start his day
early and likes to end it late. He just likes to force his days to be long because that means he has more time
to do what he needs to do.
Plus, Charles is an elf,
which means he doesn't need the standard 8 hours of sleep
that everyone else does. And once again in Mistwind, The people there haven't really
put two and two together, that there is a correlation between people with pointy ears and people
who don't need to sleep as much. This trait about elves, where they kind of
just trance instead of sleep, has kind of just turned into a thing where
some people don't need to sleep as much. So at the moment, Charles is upstairs in his study and he is stressed. He's looking over some papers at his desk and there's a bunch of stacks of books
and papers and envelopes everywhere, but it's like not messy,
if that makes sense.
As opposed to Frederick’s desk. Charles's clutter is a uniform clutter. It's organized, it's neatly stacked, even though there's still a lot it's nice. And he's sitting there. He has this little to do list
that he's holding and he makes this thing every single day. It is never empty. Charles will constantly
fill his to do list up, and as he checks things off,
he also keeps adding on to it. You know, he'll just keep finding
other things to add, big or small. It's like he's allergic to an empty to do list
because he's that much of a busybody. And all of this work
that he puts on to himself, he doesn't even really need to do it
because he's a duke. Let's be real. They don't really do much. They're rich, they're entitled,
and they have a lot of privilege. And that privilege allows them
to just dump their work onto people whose literal job it is
to do that work for them. You know, there's like people
like solicitors stewards and his staff.
But my research did not go that far,
so I don't know everything about that. So just bear with me here. But Charles isn't that type of duke. He is entitled and he is very privileged, but he doesn't like to dump his work on to
someone else. His dad was like that, though,
and Charles didn't like his father. The previous Duke of Longford
was not a responsible person. Charles, growing up wanted to see his dad
as a role model because, you know, who else was he going to see
as a role model? He's going to inherit this man's title,
his seat, his land, his property, his everything.
And so he really looked to his dad
for guidance and wisdom on how to be a good duke. But as Charles got to know his father, he didn't really meet his expectations. So he realized his dad was not the person
he wanted to be. The so-called guidance
that he received from him was just,
you don't have to care about the tenants. You can just leave that
with some other person. who cares
what's happening with our property or who who cares
what's happening with the servants? Does fine.
Hire whoever you want, fire
whoever you want. And it was that type of attitude. And this really irked Charles. So instead of seeing his dad
as a role model, Charles ended up
seeing him as a disappointment. He saw him as everything
he wanted to avoid being in. Charles has this very idealistic view
of being a duke. You know, there was an obvious already. He wants to be a man who is worthy of this privilege that he was born into. He wants to be worthy of this title
and position. And so he really doesn't
want to be like his dad. And the way that he tries to achieve this
worthiness is to keep himself busy. Work, work, work. It's the only way he really knows
how to operate. Let's do things, let's be productive. And so he became the type of duke
who pays attention to things and is aware of a lot of the responsibilities
that he should be undertaking.
But, you know, he still has servants
who do a lot of things for him. So here he is at his desk looking over stacks of papers, ledgers and invitations
that he has to deal with. And he is stressed honestly at the moment. He's kind of regretting giving himself
so much to do. But at this point in his life, it has become a habit
and a ritual to stress himself out. I don't think this man knows how to relax,
but he needs it desperately. So he's thinking, okay,
what can I do to relax? And his first idea,
honestly, is to just look through his to do list and see which one of these
is the most relaxing thing to do. And he's kind of just like frowning
and grumbling to himself, being like, well, accepting invitations. No fencing, no. And then he sees go on a walk
and he's like, that's the one I can I can do that one. That should be relaxing. Right? So he takes a look back at everything
on his desk, stares once again at go on a walk, and then crosses it off and stands up and heads out.
So that's Charles. I know he didn't really do much except sit
at his desk and like, be stressed, and I just yap at a lot, but
I don't really know what else to do there. So we're just going to switch
back to Eleanor, who is now dressed up in her father's clothing, walking outside, heading to the gentlemen's club. As she's walking,
she starts to hear a ruckus. People are scrambling in the streets
and she hears a loud rattling sound and then someone yells, WATCH OUT!! and turning to see what
she should be watching out for. She sees a carriage
heading straight to her. Yikes. Eleanor He's a level one bard
who can't even cast magic yet. So I'm sitting here thinking, Yo, she might die,
like, right here, right now.
During my very first session. So I was very nervous,
but luckily I rolled the acrobatics check to dodge the carriage
and she succeeded. Thank God. In that split second,
she dodges out of the way
just in time to save her own life. But the carriage is now on its way
to ramming into a park fence. The horse turns just in
time to save itself, but the momentum was too strong
for the bulk of the carriage and the carriage itself
crashes into the fencing. And Eleanor is like stunned for a moment. She's like, my God, that just happened. But then she kind of like snaps out of it
and runs to the wreckage to help the passengers. And there are two women
who have debris on top of them. And Eleanor reaches to get it off.
But as soon as she touches the rubble,
she feels like a jolt of energy and and it felt away stronger than the static that you might feel
when you touch an object. And she just can't explain how she knew. But Eleanor knew that it felt evil and her mind goes straight to her dad and she thinks of one thing magic. But she couldn't just dwell on this. These women were in danger
and she needed to act. So she moved some of the rubble. Despite that feeling. And she sees two women
and she recognizes them as Lady Augusta and Caroline Hawkins, who are the two daughters of
the Earl of Whitebrook. Now, these two women are basically
Eleanor's biggest haters
outside of her mom and her sister. And she knows this,
but they're in danger. And she sees that
both of them are unconscious. Caroline is on top of Augusta. Eleanor is thinking,
I need to get her off of her sister because I don't know
if Augusta can breathe underneath her.
So I rolled in athletics track
and even with Eleanor's terrible, terrible strength stat,
she manages to pass the check and she hauls Caroline off of Augusta,
pulling her from the wreckage. And now, with Augusta uncovered,
Eleanor can clearly see that she is bleeding from her head
and for the most part, Eleanor has been operating on adrenaline
this entire time. But after seeing Augusta's injury And how severe it is, she starts to kind of freak out. She's like, oh my god. What am I going to do? I can't I can't carry both of these women. No one helping me, apparently. And she yells out for help.
And guess who's conveniently out on a walk
nearby? Charles sees a crowd forming ahead of him,
and he hears a voice he knows all too well crying out for help,
and he thinks it's Eleanor. And he sprints into the crowd. Arriving at the scene,
Charles sees Eleanor crouched on the ground
with Caroline in her arms, and he also sees
that Eleanor is wearing her dad's clothes. But, the urgency of the situation has hit him
and he knows not to dwell on that. So he kind of just accepts it for now because he sees the panic
and concern on Eleanor's face. But he does fail
the insight check to see that there is a little something more
that Eleanor is concerned about.
So all he does is he asks,
What do you need me to do? And Eleanor tells him it's Augusta. She's still in there
and her head is bleeding. And so he kicks into crisis mode
and he goes to get Augusta out of the broken carriage
and then using his authority and prestige as a duke and noble,
he calls to a coachman that's like kind of nearby
and tells him to stop. And he, like, yells at him, like,
You get me to Wentworth House as fast as you can. And the guy stops
because he's like, my gosh, it's the Duke. But the carriage is only big enough to fit
Charles and Augusta. So Charles turns to Eleanor and says, Get Caroline to Wentworth House
as fast as you can. And Eleanor is like, What? How am I supposed to do that? I can't just call in a carriage. And he basically just tells her, Find a
way, Eleanor, I don't care how you do it. And then he just leaves
and you know, I know, And..
[Laughs] I know, I know I know they could have handled this way
better, but guys, the characters are only as smart as I am,
so not everything makes sense. You know, this is D&D A lot of things
aren't going to make sense. But anyway, we're going to follow
Charles here for a bit and then come back some other time
to see what Eleanor does. Right now, Charles has arrived at his place, Wentworth House,
and he's gone into panic mode, Realizing that he might have acted too slow and he's running inside carrying Augusta's body, covered in blood.
The servants are like, "Oh my God." And he tells them to call for his doctor as quickly as possible. When doing that,
he kind of knows like, it's too late. The doctor isn't going to get here on time. He goes to the drawing room anyway and lays Augusta on to his couch he's just pacing back and forth,
there's nothing much he can really do. And he's like, This is bad. This is really bad. The doctor isn't going to get here in time. She might die right here, right now, on my couch.
And in that panic,
he feels around in his coat, which is now stained in blood. He takes his little to do list out of his pocket.
Stained and he's like, God,
what has this day turned into? But just then
his butler comes running into the room saying that the doctor has arrived and Charles looks up at him, confused. That was really fast. And then this older man walks in. Brown hair and skin, very short with doe like eyes. And Charles thinks, This is not my doctor. And he asks, Who are you? And the man introduces himself as Doctor Hazelby. He says, I'm a friend of your doctor. He'll get here too late. Let me operate if you want to save her life. And there's not much Charles can do here. Even though he's suspicious of this person, he doesn't know him. He doesn't even recognize him.
The situation is just too urgent for him to just turn a doctor away. A doctor literally appeared at his doorstep. And so Charles steps aside
to let Doctor Hazel do his work. But then Doctor Hazel says, actually,
you need to step outside. And Charles is like, What? Absolutely not. I'm not leaving you with her. Very quickly, Doctor Hazelby kind of… gives up on trying to convince Charles to leave His face becomes serious as he approaches Charles, He puts his hand on his shoulder and he looks him in the eyes, saying,
“Forget everything you think you know.” And before Charles can even express
confusion, Doctor Hazelby kneels down Places his hands over Augusta's bleeding head And casts Cure Wounds His hands begin to glow.
Her head glows too in an aura of healing. And Charles is just standing there in awe as he sees her injury heal in an instant. And that's where I'm going to end the video. So that's it for The Adventures of Eleanor Thorne and Charles Aefir Wentworth. So next episode,
we'll find out what Charles does after discovering
and witnessing magic with his own eyes. And we'll find out what
Eleanor does to get Caroline to Charles’ House. and also what she does about that little evil jolt that she felt from the carriage.
What will Eleanor find out? Who knows? I feel so giddy right now. I hope you guys are as excited as me. I hope that was interesting enough
to get you invested. I'm really nervous about how people are going to feel about this video
and just this story in general. So please, please, please let me know
what you think in the comments. I'm going to be reading all of them
twice, three times, five times. Because I'm just I'm I'm so excited.
This is my passion project. I would love to know
what you think about it. So I'll see you around. Goodbye!.
What I want to do in this video is introduce you to the idea of a budget line Actually probably isn’t a new idea. It’s a derivative idea of what you’ve, seen and often in an introductory algebra course, where A you,’ve, gotten a certain amount of money and you can spend it on a certain combination of goods.
What are all the different possibilities that you can actually buy That’s? Really, what a budget line is Let’s say that you have an income and I’ll, do it both in the abstract and the concrete I’ll do it variables and then I’ll also do it with actual numbers Lets, say your income, Your income in a month is Y and lets say that you spend all of your money.
Your income is equal to your expenditures, Assuming in our little model here that you’re not going to be saving any money To show how overly simplified we can make a model.
We are going to only assume that you can spend on two different goods and that’s, so that we can actually plot all the combinations on a two dimensional surface like the screen over here.
Obviously, most people buy many more or they at least.
Are choosing between many many more than two goods? But let’s say you can choose between 2 goods and let’s just take goods? That we’ve, been doing using in recent videos That 2 goods that you buy are either chocolate or fruit.
You could buy chocolate by the bar or fruit by the pound.
What are going to be your expenditures, assuming you spend it all on chocolate and fruit? Well, there’s going to be the amount that you spend on.
Chocolate will be the price of chocolate times the quantity of chocolate you buy, which is the number of bars And then the amount you spent on fruit will be the price of fruit per pound times the quantity of fruit, For example, if Y 20 a month and The price – actually, we’ll plot this in a second, the price of chocolate is equal to 1 per bar, and the price of fruit is equal to 2 per pound.
I think these were the prices I used in a per pound of fruit. Then, all of a sudden, you would know what this is.
You would know what this is, and this is You know what the Ps are and the Y and then you could actually graph one of these quantities relative to the other.
What we can do is and let’s do, that we can graph the quantity of 1 relative to the other.
Why don’t we put the quantity of chocolate on this axis over here and let’s put the quantity of fruit on this axis.
Over here, First, if we wanted to graph it, I like to put it since I’ve – put quantity of chocolate on the vertical axis here.
I’d like to solve this equation for quantity of chocolate as a function of quantity, fruit, and it should make it pretty straight forward to graph Let’s try that out.
First, I’m just going to rewrite this without expenditures in between.
We have our income, our income Y price of chocolate times the quantity of chocolate plus the price of fruit times the quantity of fruit.
Now I want to solve for the quantity of chocolate.
Let me make that orange. So we know that this is this one right over here.
If I want to solve for that the best way, I could isolate it one side of this equation.
Let me get rid of this.
This yellow part right over here and the best way to do that is to subtract it from both sides.
Let’s subtract the price of fruit times the quantity of fruit, and I could substitute the numbers in first and that might actually make it a little bit easier to understand, but I like to keep it general first, You see you don’t have to Just use with these numbers, you could just see the general result here.
I’m going to subtract it from the left hand, side and the right hand, side and the whole point is to get rid of it.
From the right hand, side This cancels out the left hand.
Side becomes your income minus the price of fruit times the quantity of fruit? This is going to be equal to your right hand, side, which is just the price of chocolate times the quantity of chocolate.
Now, if we want to solve for the quantity of chocolate, we just divide both sides by the price of chocolate, and then you get it and I’ll flip.
The sides You get. The quantity of chocolates is going to be equal to your income.
Your income, divided by the price of chocolate, minus the price of fruit times the quantity of fruit, all of that over the price of chocolate All over that over the price of chocolate.
We can actually substitute these numbers in here and then we can actually plot what essentially, this budget line will look like In our situation.
20 Y 20.
The price of chocolate is equal to 1.
Price of chocolate is equal to 1.
This term right over here, 20 per month, divided by 1 per bar, which would actually give you 20 bars per month.
If you work out the units, This term right over here just simplifies to 20.
This is actually an interesting term.
Your income, your income in dollars, divided by the price of an actual good or service. You could view this term right over here as your real income.
The reason why it’s called real income.
Is it’s actually pegging what your earnings to what you can buy? It’s, pegging it to a certain real goods.
It’s not tied to some abstract quantity like money which always has a changing buying power.
What you could buy for 20 in 2010 is very different than what you could buy for 20 in 1940.
Here, when you divide your income divide it a by a price of some good.
It’s really telling you your income.
In terms of that good, You could view your income as 20 per month, or you could view your income.
If you wanted your income in chocolate bars, You could say my income is: I could buy 20 chocolate bars each month, So I could say my income 20 chocolate bars per month.
They would be equivalent to you, assuming that you could sell the chocolate bars for the same price. You could buy it and that’s somewhat of an assumption, But you could say I have the equivalent income of 20 bars a month.
You could have also done it in fruit.
I have the equivalent income of 20 divided by 2 10 pounds of fruit a month.
It’s, trying your income to real things, not the abstract quantity like money Anyway, this is going to be equal to.
Let me write it over here.
My quantity of chocolate is going to be equal to this term right over here as 20.
If you wanted to do the units, it would be 20 bars per month and you could do a little bit of dimensional analysis to come up with that.
You could treat the units just like numbers and see how the cancel out 20 bars per month minus the price of fruit, divided by the price of chocolate, 2 per pound of fruit.
The price of fruit is going to be 2 and I actually want to look at the units because that’s interesting.
Let me write it here. The price of fruit is equal to 2 per pound.
Let me write it.
This way: 2 per pound of fruit.
I’ll show you how the units cancel out.
Then we’re dividing that by the price of chocolate, Dividing it by the price of chocolate, which is equal to 1 per bar of chocolate.
Now, obviously, the math is fairly straight forward.
We just get 2, but the units are a little bit interesting.
You have a dollar and the numerator of the numerator and a dollar the numerator of the denominator.
Those will cancel out.
You could actually view this, as this is going to be the same thing just to look at the units This is going to be. This is the same thing as the numerator times the inverse times the reciprocal of the denominator right over.
Here You could say 2 per pound times.
The reciprocal of 1 is just 1 times 1 bar per dollar.
Then the dollars cancel out and you are left with 2 bars per pound of fruit.
What we’ve actually done over here this term right over here it gives us bars of chocolate per pound of fruit.
It simplifies to 2 bars of chocolate per pound of fruit.
It’s actually giving you the opportunity cost of a pound of fruit.
It’s, saying hey: you could buy a pound of fruit, but you’d be giving up 2 bars of chocolate Because the price you could get 2 bars of chocolate for every pound of fruit.
You could view this as the relative price.
This right over here is the relative price of fruit. In this example, It’s telling you the opportunity, cost it’s, telling you how much fruit cost in terms of chocolate bars Regardless.
That number is fairly straight forward.
It was just a 2 Minus 2 times the quantity of fruit.
This is fairly straight forward to plot.
If the quantity of fruit it 0, our quantity of chocolate is 20.
This is going to be 20 over here.
This is 20 and this is going to be 10.
This is 15.
This is 5.
This is a point on our budget line right over there. There is multiple ways that you could think about this.
One way you could say is: if you buy no chocolate, if the quantity of chocolate is 0, what is going to be the quantity of fruit, Then you could solve this or you could just say.
Look if I have 20 a month, then I’m going to spend it all on fruit.
I can buy 10 pounds of fruit So to say that this right over here is 10.
Let’s say this right over here is 10.
This is 5.
So this is also on our budget line, and every point in between is going to be on our budget line.
Every point in between is going to be on our budget line.
Another way you could have done this, and this comes straight out of kind of your typical algebra 1 course.
You could say in this case, if you view this, as the Y axis you say your Y interceptor, you say My chocolate quantity interceptor is 20 and then my slop is negative. 2.
My slope is negative 2 For every extra pound of fruit I buy.
I have to give up 2 pounds of chocolate.
You could also view this as the opportunity cost of fruit.
You see this slope as we go forward.
If we buy one more pound quantity of fruit, we’re giving up 2 bars of chocolate.
One statement I did just make, I said every point on this line – is a possibility, and I can only say that if we assume that both of these goods are divisible, goods, which means we can buy arbitrarily small amounts of it, that we could buy 10th of A bar of chocolate on average, especially Or we could buy 100th of a pound of fruit.
If they weren’t divisible, they’re indivisible, then only the whole quantities would be the possibility points We’ll just assume they’re divisible, especially even if the store only sells indivisible bars of chocolate.
If you buy one bar of chocolate every 4 months on average, you’re buying 25 bars of chocolate per month, Even that on average.
Almost anything almost anything here is divisible. This line right over here shows all of the combinations we can buy.
All of the combinations of the divisible goods we could buy if we spend all of our money That right over there is our budget line.
That is our budget line.
That is our budget line And any combination out here is unaffordable.
We don’t have enough money for that.
Any combination down here is affordable.
Actually, we would end up with extra money if we’re below the budget line, This isn’t all that different than what we saw with the production possibilities.
Frontier Remember.
We had a curve that really showed all of the.
If we were producing 2 goods what combinations of goods we could produce Anything on that curve for the productions possibility, frontier was efficient. Anything outside of it was unattainable and anything inside was attainable but inefficient.
THAT'S WHERE A BE ON RATIONALITY. I JUST THINK THAT IT'S SO, YOU KNOW, YOU GET FRUSTRATED WITH THIS SOMETIMES AND I I UNDERSTAND IT SOMEWHAT. >> BUT IT IS A RELATIVE ASSESSMENT. AND THE REASON THAT IT'S SO CLOSE AND SHE MAY WIN THE ELECTION IS BECAUSE IF THAT'S WHAT MATTERS TO VOTERS, THEY'RE NOT GOING TO VOTE FOR DONALD TRUMP. THE MAN LIES WHEN THE TRUTH IS A BETTER STORY. HE OWNS NOTHING THAT IS NOT FAVORABLE FOR HIM.
SO IF THAT'S WHAT YOU'RE WORRIED ABOUT WITH KAMALA HARRIS, I DON'T THINK SHE'S REALLY ANSWERING THE QUESTION. I DON'T KNOW THAT YOU CAN BE TRUSTED. HOW DOES SHE LOSE THE ELECTION OF THAT'S THE BASIS OF MEASUREMENT, ESPECIALLY. YOU KNOW, SHE SPENT HALF OR TIME BASHING HIM. TAKE YOUR STAFFS WORD AT THEIR STRONG STAFF. I MEAN, IT'S STILL GOING TO BE 50% LESS THAN HE SPENDS BILL. I MEAN, HE HASN'T EVEN TALKED ABOUT KILLING LAURA HEAD OF HAMAS BECAUSE HE'S TOO BUSY BASHING HER FOREVER, DO IN INTERVIEWS JUST LIKE HIS ARE. >> YOU SAY HE SAYS LIES. ALL RIGHT. YEAH. YOU SAY HE WON'T CEDE ANYTHING. YEAH. WELL, SHE WON'T SEE ANYTHING EITHER. I KNOOW SHEOESN'T. AND MIDWIVES 6, NOT ONE. SO AS COMES DOWN TO 2 THINGS. HE DOESN'T AMENDMENT STATE ROAD IN MY BOOK, THE UNITED TRUMP, HIS OWN SON SAID. THE REASON MY FATHER NEVER MENTIONED SAYING IS BECAUSE HE THINKS IT'S US SHOWS A SIGN OF WEAKNESS AND THAT'S THE TRUTH. WE CHRISTIANS WHEN IT COMES DOWN TO KAMALA HARRIS AND HIS HER ADVISORS ARE RUNNING ON THE SAME STRATEGY THAT BIDEN RAN ON AND 20.
THAT WILL BE ENOUGH. AMERICANS WHO HATE TRUMP NOT LOVE HER, RIGHT. HATE HIM THAT THEIR HER INTO OFFICE. THAT'S THEIR STRATEGY. I DO NOT BELIEVE THAT'S A WINNING STRATEGY. I DON'T DISAGREE. I DON'T BECAUSE OF THEM MONEY. FACTOR CASH IN YOUR POCKET. FACT. YEAH. WORKING AMERICANS ARE SUFFERING. YEAH, KAMALA HAS HAS NO GRASP. OF THE ECONOMY WHATSOEVER. IF SHE DID, SHE WOULD HAVE PUT IT OUT THERE.
SHE HAS PLANS AND YOU KNOW WHERE CENTRAL PLAN IS THAT I'M GOING TO GIVE EVERY FIRST-TIME HOME BAR IN THE UNITED STATES. $25,000, CHECK FROM THE GOVERNMENT. NUMBER ONE THAT'S UNCONSTITUTIONAL. NUMBER 2 WOULD NEVER GET THROUGH CONGRESS. AND NUMBER 3, WE HAVE A 35 TRILLION DOLLAR DEBT THAT WOULD QUICKLY RISE TO 40 TRILLION. THAT WILL NEVER HAPPEN. THAT'S YOUR PLAN. THAT'S YOUR POLICY OUTLOOK. THAT'S LIKE ME SAYING I'M GOING TO GO TO EVERYBODY'S HOUSE. ALL RIGHT. IF YOU WATCH THE NOS BEEN NEWS, I'M GOING TO GO WHEREVER WATCHES AND OSMAN NEWS. WANT TO GO TO YOUR HOUSE SURE ANY MALADY YOU HAVE GET DIABETES. I'M COMING. I'M GOING TO OKAY. IF YOU WATCH MY SHOW, IT'S INSANE. BUT THAT'S WHAT SHE'S PUTTING OUT THERE.
YEAH, RIGHT. AND I HATE TO SAY THAT IT PAIN I GOTTA JUST FLIGHT YOU ARE RIGHT TO SAY AMERICANS IN THE MIDDLE ARE GOING THESE BOTH OF THEM WHITE. WHAT HAS HAPPENED BEFORE IN OUR HISTORY AND MY VOTE IS GOING FOR TRUMP BECAUSE HE RAN THE COUNTRY EFFECTIVELY, IN MY OPINION, REAL WAGES UP 7% FOR 4 YEARS. JANUARY 6, THOUGH, EXCUSE. BUT I'M GOING FOR EXPERIENCE RATHER THAN JIM PARISH AND KAMALA HARRIS, HER ENTIRE PRESENTATION, 100% IS JEB OR ISH. WELL, I THINK THAT THERE ARE A LOT OF PEOPLE FEEL THE SME WAY ABOUT HIM. >> AND THAT THIS ECONOMY IS IN RECOVERY MODE. IN PART BECAUSE OF HIS MISMANAGEMENT OF THE EARLY PHASE OF THE PANDEMIC, WHICH ABSOLUTELY EXTENDED IT. AND I DON'T BELIEVE THAT FOR A SECOND WON'T, BUT THAT'S WATCHING WHEN THE NUMBERS, THE PANDEMIC CHANGED THE NUMBERS. HE DENIED ITS EXISTENCE MAKE THIS WHOLE WOULD BE GONE. BUT YOU HAVE DO WITH MISMANAGING ECONOMY. HE WAS CHARGE ONLY THE PANDEMIC TO WHERE THE ECONOMY HAD TO DO WHAT YOU HAD TO DO. I'M NOT SAYING THAT HE MADE HE DIDN'T MANAGE COVID.
SURE HE DID. HE GOT THE HE GOT THE HE GOT THE SAME VACCINE AS FAST AS ANY HUMAN. WAS SIGNATURE. WE JUST TALK ABOUT BECAUSE MOST OF HIS SUPPORRTERS ARE ANTI-VAX. AND WHEN HE LEFT OFFICE, INFLATION WAS 1.4%. YEAH. AND THE STORY CUOMO, I DON'T I THINK THAT'S A REALLY COMPELLING ARGUMENT. I THINK THAT TARIFFS HAD A BIG PART TO DO ITH THE INFLATIONARY ENVIRONMENT. BUT YOU GOT TO MAKE THAT CASE TO THE VOTERS AND THEY'RE NOT MAKING IT. SO I DON'T DISAGREE WITH YOU. THAT PAIN IN THE POCKET MAY WELL DECIDE THIS IN CONJUNCTION WITH SOMETHING WE HAVEN'T DISCUSSED, WHICH IS IMMIGRATION, WHICH IS ALSO A POTENTIAL KILLED SHOT FOR US. SO I THINK IT'S NO SURPRISE TO .