Suppose that upon solving for optimal bundles of hamburgers and french fries, we determine that when the price of hamburgers is $5 and the price of fries is $2, that we consume 2 hamburgers and 5 orders of fries. Suppose further that, upon changing the price of fries to $4, we only consume 3 orders of fries.  Draw out a demand curve for fries, labeling two points.

Principles of Microeconomics
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Chapter21: The Theory Of Consumer Choice
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Suppose that upon solving for optimal bundles of hamburgers and french fries, we determine that when the price of hamburgers is $5 and the price of fries is $2, that we consume 2 hamburgers and 5 orders of fries. Suppose further that, upon changing the price of fries to $4, we only consume 3 orders of fries. 

Draw out a demand curve for fries, labeling two points. This is not a trick question, this one is supposed to be easy.

HW 2 Numerical Problems ✩
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4. Suppose you have an income of $100 per week. In a given week, you are faced with a
choice between two goods. Good X is Pepperoni Rolls, and Good Y is a composite good
consisting of "all other goods". Pepperoni Rolls cost $10 each and "Other goods" cost
$20 each.
a. Write out the equation for the budget line in the form | = f(x,y)
b.
Draw a graph with your budget line in this two-good framework. Fair
warning that you will want a big graph with lots of room in it for what you will be
asked to do later in the question. The scaling doesn't have to be perfect, but
make sure the endpoints make sense (Hint: the x and y intercepts should occur
where you are spending all money on one good or the other)
c. Now, draw a table like this: (you don't need the borders, that's just a natural
feature of making this on the computer)
i.
ii.
Pepperoni Rolls (Good X)
1
2
3
4
LO
7
00
Request edit access
Composite Good Y
4.5
2.5
10
Fill in the values for the composite good. Remember, we are going to
spend our whole income. Do not make any assumptions about savings for
now. A couple of them are filled in as an example. (If I buy 5 pepperoni
rolls, I have $50 left, which allows me to buy 2.5 of Good Y.)
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Transcribed Image Text:HW 2 Numerical Problems ✩ File Edit View Tools Help 4. Suppose you have an income of $100 per week. In a given week, you are faced with a choice between two goods. Good X is Pepperoni Rolls, and Good Y is a composite good consisting of "all other goods". Pepperoni Rolls cost $10 each and "Other goods" cost $20 each. a. Write out the equation for the budget line in the form | = f(x,y) b. Draw a graph with your budget line in this two-good framework. Fair warning that you will want a big graph with lots of room in it for what you will be asked to do later in the question. The scaling doesn't have to be perfect, but make sure the endpoints make sense (Hint: the x and y intercepts should occur where you are spending all money on one good or the other) c. Now, draw a table like this: (you don't need the borders, that's just a natural feature of making this on the computer) i. ii. Pepperoni Rolls (Good X) 1 2 3 4 LO 7 00 Request edit access Composite Good Y 4.5 2.5 10 Fill in the values for the composite good. Remember, we are going to spend our whole income. Do not make any assumptions about savings for now. A couple of them are filled in as an example. (If I buy 5 pepperoni rolls, I have $50 left, which allows me to buy 2.5 of Good Y.) EAS OO CO Share S 31 + >
HW 2 Numerical Problems ✩
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Request edit access
d. Now, mark each of the baskets from the table on your budget line.
e.
i.
So far, you have not drawn any indifference curves. Now consider the following:
Imagine your Utility is the function U = XY. That's it. So, if I have 3
pepperoni rolls and 2 of composite good Y, my utility is U = (3)(2) = 6.
Calculate the utility for each combination of goods you wrote in the
table.
ii.
f. Now that you have utilities for each combination, draw indifference curves
through the best goods basket, the second best goods basket(s), and the
fourth best goods basket(s). This way you won't get messed up overcrowding
the graph with indifference curves. (Hint: I am asking you to draw three
indifference curves.)
i.
Note that all of these baskets are feasible, but only one is the optimal
choice!
5. Straight from the textbook, I like this question a lot: "The Carnival and the circus have
both come to town. You have 6 free hours to kill."
a. Suppose admission is free at both the carnival and the circus. Illustrate the
budget line that shows your options for how you can spend your day. (Think
about your budget in terms of time.)
b. Now, support instead that admission is $2 per hour at the carnival and $4 per
hour at the circus. Your income is $20. You still only have 6 hours of time. Now
illustrate your budget line. Is it still a straight line?
6. Assume, in any given 24 hour day, you can allocate any mix you choose to Leisure or
Labor. Your hourly wage is $10 per hour. (Note: Part e of this question can be solved with or
without using math, where U = CL. L is leisure, C is consumption from labor wages.)
a. Draw a graph with Leisure on the x axis and wage on the y axis. Draw your
budget constraint. Be prepared to draw a few curves, so make sure you have
plenty of room. (Hint: If you spend no time on leisure, you can make $240.)
b. Mark the point on your budget line (call it A) where you consume 16 hours of
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Transcribed Image Text:HW 2 Numerical Problems ✩ File Edit View Tools Help Request edit access d. Now, mark each of the baskets from the table on your budget line. e. i. So far, you have not drawn any indifference curves. Now consider the following: Imagine your Utility is the function U = XY. That's it. So, if I have 3 pepperoni rolls and 2 of composite good Y, my utility is U = (3)(2) = 6. Calculate the utility for each combination of goods you wrote in the table. ii. f. Now that you have utilities for each combination, draw indifference curves through the best goods basket, the second best goods basket(s), and the fourth best goods basket(s). This way you won't get messed up overcrowding the graph with indifference curves. (Hint: I am asking you to draw three indifference curves.) i. Note that all of these baskets are feasible, but only one is the optimal choice! 5. Straight from the textbook, I like this question a lot: "The Carnival and the circus have both come to town. You have 6 free hours to kill." a. Suppose admission is free at both the carnival and the circus. Illustrate the budget line that shows your options for how you can spend your day. (Think about your budget in terms of time.) b. Now, support instead that admission is $2 per hour at the carnival and $4 per hour at the circus. Your income is $20. You still only have 6 hours of time. Now illustrate your budget line. Is it still a straight line? 6. Assume, in any given 24 hour day, you can allocate any mix you choose to Leisure or Labor. Your hourly wage is $10 per hour. (Note: Part e of this question can be solved with or without using math, where U = CL. L is leisure, C is consumption from labor wages.) a. Draw a graph with Leisure on the x axis and wage on the y axis. Draw your budget constraint. Be prepared to draw a few curves, so make sure you have plenty of room. (Hint: If you spend no time on leisure, you can make $240.) b. Mark the point on your budget line (call it A) where you consume 16 hours of EA S OO CO Share S 31 + >
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