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Homework 1

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Econ 201, Session 3 in Fall 2020 at DKU

Homework # 1 for Econ 201

Due on Monday, Jan 13, 2019

1. Any good Southern breakfast includes grits (which my wife loves) and bacon (which I love).

Suppose we allocate $60 per week to consumption of grits and bacon, that grits cost $2 per box and bacon costs $3 per package.

Use a graph with boxes of grits on the horizontal axis and packages of bacon on the vertical to answer the following:

(a) Illustrate my family’s weekly budget constraint and choice set.

(b) Identify the opportunity cost of bacon and grits and relate these to concepts on your graph.

(c) How would your graph change if a sudden appearance of a rare hog disease caused the price of bacon to rise to $6 per package, and how does this change the opportunity cost of bacon and grits?

(d) What happens in your graph if (instead of the change in (c)) the loss of my job caused us to decrease our weekly budget for Southern breakfasts from $60 to $30? How does this change the opportunity cost of bacon and grits?

2. Suppose the only two goods in the world are peanut butter and jelly. You have no exogenous income but you do own 6 jars of peanut butter and 2 jars of jelly. The price of peanut butter is $4 per jar, and the price of jelly is $6 per jar.

(a) On a graph with jars of peanut butter on the horizontal and jars of jelly on the vertical axis, illustrate your budget constraint.

(b) How does your constraint change when the price of peanut butter increases to $6? How does this change your opportunity cost of jelly?

3. Policy Application: Food Stamp Programs and other Types of Subsidies: The U.S. government has a food stamp program for families whose income falls below a certain poverty threshold. Food stamps have a dollar value that can be used at supermarkets for food purchases as if the stamps were cash, but the food stamps cannot be used for anything other than food.

Suppose the program provides $500 of food stamps per month to a particular family that has a fixed income of $1,000 per month.

(a) With “dollars spent on food” on the horizontal axis and “dollars spent on non-food items” on the vertical, illustrate this family’s monthly budget constraint. How does the opportunity cost of food change along the budget constraint you have drawn?

(b) How would this family’s budget constraint differ if the government replaced the food stamp program with a cash subsidy program that simply gave this family $500 in cash instead of $500 in food stamps? Which would the family prefer, and what does your answer depend on?

(c) How would the budget constraint change if the government simply agreed to reimburse the family for half its food expenses?

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Econ 201, Session 3 in Fall 2020 at DKU

4. Consider my wife’s tastes for grits and cereal. Unlike me, my wife likes both grits and cereal, but for her, averages (between equally preferred bundles) are worse than extremes.

(a) On a graph with boxes of grits on the horizontal and boxes of cereal on the vertical, illustrate three indifference curves that would be consistent with my description of my wife’s tastes.

(b) Suppose we ignored labels on indifference curves and simply looked at shapes of the curves that make up our indifference map. Could my indifference map look the same as my wife’s if

I hate both cereal and grits? If so, would my tastes be convex?

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