Economic
1) Suppose that a consumer's preferences are well behaved in that properties 4-1 to 4-4 are satisfied and the initial equilibrium consumption bundle consists of 100 units of X and 50 units of Y. If PX decreases such that the new equilibrium consumption bundle is 150 units of X and 75 units of Y, then goods X and Y are:(5pts)
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complements. |
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substitutes. |
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inferior goods. |
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unrelated. |
2)Suppose a manager views both quantity and profit as "goods." Such a manager will then have an indifference curve that:(5pts)
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is tangent to the profit curve somewhere between quantities of 0 and 2.5. |
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is tangent to the profit curve somewhere between quantities of 2.5 and 5. |
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intersects the profit curve at a quantity exactly equal to 2.5. |
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intersects the profit curve at a quantity exactly equal to 5. |
3) Suppose a manager's preferences depend only on profit. Such a manager will then have an indifference curve that:(5pts)
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is tangent to the profit curve somewhere between quantities of 0 and 2.5. |
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is tangent to the profit curve somewhere between quantities of 2.5 and 5. |
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is tangent to the profit curve at a quantity exactly equal to 2.5. |
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intersects the profit curve at a quantity exactly equal to 5. |
4) Suppose that a consumer's preferences are well behaved in that properties 4-1 to 4-4 are satisfied and the initial equilibrium consumption bundle consists of 10 units of X and 25 units of Y. If PY increases such that the new equilibrium consumption bundle is 15 units of X and 10 units of Y, then goods X and Y are: (5pts)
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complements. |
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substitutes. |
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normal goods. |
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unrelated. |
5)Suppose we are given that the value of a particular utility function is a constant. That is, U(X,Y) = c. Then, the total derivative of this relation is:
Click here to see the possible answers if the choices are not visible below. (5pts)
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Image gallery (click for full size) |
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Image gallery (click for full size) |
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Image gallery (click for full size) |
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Image gallery (click for full size) |
6)Suppose the following Lagrangian is formed to maximize a consumer's utility subject to her budget constraint:
The first-order conditions for this problem imply:
(5pts)
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MRS = 10. |
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PX/PY = 10. |
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All of the statements associated with this question are correct. |
7)Suppose a consumer has M = $200 to spend on two goods, X and Y. If the per-unit prices of X and Y are respectively given by PX = $2 and PY = $4, then utility maximization subject to a budget constraint can be found from which of the following Lagrangians?
(5pts)
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8)What is the maximum amount of good X that can be purchased if X and Y are the only two goods available for purchase and Px = $10, Py = $20, Y = 5, and M = 400?
(5pts)
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80 |
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20 |
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40 |
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30 |
9) What is the maximum amount of good X that can be purchased if X and Y are the only two goods available for purchase and Px = $10, Py = $20, Y = 0, and M = 400?
(5pts)
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0 |
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20 |
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40 |
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30 |
10)What is the maximum amount of good Y that can be purchased if X and Y are the only two goods available for purchase and Px = $10, Py = $20, X = 20, and M = 400?
(5pts)
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10 |
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20 |
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5 |
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0 |
11)What is the maximum amount of good Y that can be purchased if X and Y are the only two goods available for purchase and Px = $10, Py = $20, X = 0, and M = 400?
(5pts)
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10 |
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20 |
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5 |
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0 |
12)A price increase causes a consumer's "real" income to:
(5pts)
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increase. |
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decrease. |
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remain unchanged. |
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decrease or increase depending on the size of the price change. |
13)If the price of good X increases, what will happen to the budget line?
(5pts)
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It will have a parallel shift inward. |
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It will have a parallel shift outward. |
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It will become steeper. |
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It will become flatter. |
14)The income effect isolates the change in the consumption of a good caused by the change in:(5pts)
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"real" income. |
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the relative prices of two goods. |
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consumer preferences. |
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None of the statements is correct. |
15)If the price of a good Y falls, then the marginal rate of substitution between X and Y:
(5pts)
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increases. |
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decreases. |
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remains the same. |
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depends on whether X and Y are normal or inferior goods, and we cannot tell without that information. |
16)Suppose the utility function for a firm manager is U = π + bQ, where Q is output, π is profit, and b is a negative constant. How would the firm's output compare with what it would be if the manager's objective was to maximize profit?
(5pts)
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It would be greater than the profit-maximizing output. |
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It would be less than the profit-maximizing output. |
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It would be the same as the profit-maximizing output. |
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None of the statements is correct. |
17) If the slope of the budget line is steeper than the slope of the indifference curve, and X is on the horizontal axis: (5pts)
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the consumer is willing to give up more of good X to get an additional unit of good Y than is necessary under the current market prices. |
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MRS > PX/PY. |
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MRS = -PX/PY. |
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the consumer is willing to give up more of good Y to get an additional unit of good X than is necessary under the current market prices. |
18) If the price of a good falls, then the equilibrium consumption of that good:(5pts)
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increases if it is an inferior good. |
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decreases if it is a normal good. |
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remains the same. |
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None of the statements is correct. |
19) Kate's money income is $350, the price of X is $4, and the price of Y is $6. Given these prices and income, Kate buys 50 units of X and 25 units of Y. Call this combination of X and Y bundle J. At bundle J, Kate's MRS is 3. At bundle J, if Kate increases consumption of Y by 1 unit, how many units of X can she give up and still reach the same level of utility? (5pts)
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1 |
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1/3 |
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3 |
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2/3 |
20)Ann's money income is $250, the price of X is $3, and the price of Y is $2. Given these prices and income, Ann buys 60 units of X and 35 units of Y. Call this combination of X and Y bundle J. At bundle J Ann's MRS is 2. Given these prices and income, what is Ann's equilibrium consumption of X?
(5pts)
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X < 60 |
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X = 60 |
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X > 60 |
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None of the statements is correct. |