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6. A Wisconsin resident Sarah only consumes two goods: Bananas (B) and Apples (A). Her utility...
1. Charlie’s utility function for weekly consumption of bananas (B) and Apples (A) is given by...
1. Charlie’s utility function for weekly consumption of bananas (B) and Apples (A) is given by U = BA . a. Suppose Charlie consumes 20 bananas and 10 apples in a week. Sketch his indifference curve through that bundle on a diagram. (While it doesn’t really matter which good is on the horizontal axis, for consistency with our classwork, assume bananas are on the horizontal axis.) b. Use calculus (partial derivatives) to derive formulas for the marginal utilities (MU) of...
Diana's utility function for consuming apples (Xa) and Bananas (Xb) is U(Xa,Xb) = XaXb. Suppose the...
Diana's utility function for consuming apples (Xa) and Bananas (Xb) is U(Xa,Xb) = XaXb. Suppose the prices of apples is $1, bananas $2, and her income is $40. On a graph with bananas on the y-axis, use blue ink to draw Bianca’s budget line.With red ink, plot an indifference curve that gives her a utility level of 150. Using black ink, plot an indifference curve that gives her a utility level of 300. Can Bianca afford any bundles that give...
7. Charlie consumes apples and bananas. We had a look at two of his indifference curves....
7. Charlie consumes apples and bananas. We had a look at two of his indifference curves. In this problem we give you enough information so you can find all of Charlie's indifference curves. We do this by telling you that Charlie's utility function happens to be U (XA, xB ) = xA* x8 (a) Charlie has 40 apples and 5 bananas. Charlie's utility for the bundle (40, 5) is U (40 5)- The indifference curve through (40, 5) includes all...
Charlotte and Wilber are two agents in a two-agent, two-commodity pure exchange economy where apples and...
Charlotte and Wilber are two agents in a two-agent, two-commodity pure exchange economy where apples and bananas are the two commodities. Charlotte loves apples and hates bananas. Her utility function is Ucu, b) = u 5 , where a is the number of apples she consumes and b in the number of bananas she consumes. Wilber likes both apples and bananas. His utility function is Uca, b) = a +2Vb. Charlotte has an initial endowment of no apples and 8...
4. Charlie likes both apples and bananas. He consumes nothing else. Charlie consumes x bushels of apples per year...
4. Charlie likes both apples and bananas. He consumes nothing else. Charlie consumes x bushels of apples per year and x bushels of bananas per year. Suppose that Charlie's preference is represented in the following utility function: u(x,,Xy)-x,Xy . Suppose that the price of apples is S1, the price of bananas is S2, and Charlie's income is $40. (14 points) a. Draw Charlie's budget line. Plot a few points on the indifference curve that gives Charlie a utility of 150...
1. Suppose a consumer is maximizing utility consuming a bundle apples and bananas x and has...
1. Suppose a consumer is maximizing utility consuming a bundle apples and bananas x and has standard preferences. Her budget constraint is given by the equation 1000-2a-2b0. Apples are normal goods and bananas are normal. a) plot the optimal bundle, showing the proper indifference curve and budget constraint. Call this bundle x1 b) show the effect of an increase of a single price increase for apples on the budget constraint. Use a hypothetical budget line to identify substitution effects for...
Jake spends $100/week on two goods, apples and DVD's. Th price of an apple is $2...
Jake spends $100/week on two goods, apples and DVD's. Th price of an apple is $2 and the price of a DVD is $10. Show Jake's budget constraint. Be clear about the values of the two intercepts on the budget constraint. Put the quantity of apples on the horizontal axis. a. Assume Jake is consuming 20 apples and spends the rest on DVDs. Label that point on your graph as point A. b. Jake has well-behaved preferences. At his initial...
1. Dorothy's utility function is U(B, O) = (B + 2) (0 + 1) where B...
1. Dorothy's utility function is U(B, O) = (B + 2) (0 + 1) where B is her consumption of bananas and O is her consumption of oatmeal. MUB = 0 + 1, MUo = B + 2. (Place Oatmeal on the y axis.) a. Write down the expression and draw Dorothy's indifference curve through (2,8). b. Suppose po = Pb = $1 and M = $11, draw the budget constraint on the same graph as her indifference curve. c....
The weekly utility function of a consumer is: U = 2AB where A and B are...
The weekly utility function of a consumer is: U = 2AB where A and B are two goods in the consumer’s consumption bundle. Based on this utility function the marginal utility of good A is: MUA = 2B and the marginal utility of good B is: MUB = 2A, where A and B represent the quantities of good A and good B, respectively. The price of good A is $5 whereas the price good B is $10. a. Write the...
1. Charlotte loves apples and hates bananas. Her utility function is U (a,b) a-b2/4, where a...
1. Charlotte loves apples and hates bananas. Her utility function is U (a,b) a-b2/4, where a is the number of apples she consumes and b is the num- ber of bananas she consumes. Assume that Charlotte's income is y • What are the demand functions for Charlotte ? • What are the Engel curves for Charlotte? 2. Wilbur likes both apples and bananas. His utility function is U(a,b) = ab1/2. Assume Wilbur's budget is m, the price of apple is...
7. Charlie consumes apples and bananas. We had a look at two of his indifference curves. In this problem we give you enough information so you can find all of Charlie's indifference curves. We do this by telling you that Charlie's utility function happens to be U (XA, xB ) = xA* x8 (a) Charlie has 40 apples and 5 bananas. Charlie's utility for the bundle (40, 5) is U (40 5)- The indifference curve through (40, 5) includes all...
Charlotte and Wilber are two agents in a two-agent, two-commodity pure exchange economy where apples and bananas are the two commodities. Charlotte loves apples and hates bananas. Her utility function is Ucu, b) = u 5 , where a is the number of apples she consumes and b in the number of bananas she consumes. Wilber likes both apples and bananas. His utility function is Uca, b) = a +2Vb. Charlotte has an initial endowment of no apples and 8...
4. Charlie likes both apples and bananas. He consumes nothing else. Charlie consumes x bushels of apples per year and x bushels of bananas per year. Suppose that Charlie's preference is represented in the following utility function: u(x,,Xy)-x,Xy . Suppose that the price of apples is S1, the price of bananas is S2, and Charlie's income is $40. (14 points) a. Draw Charlie's budget line. Plot a few points on the indifference curve that gives Charlie a utility of 150...
1. Suppose a consumer is maximizing utility consuming a bundle apples and bananas x and has standard preferences. Her budget constraint is given by the equation 1000-2a-2b0. Apples are normal goods and bananas are normal. a) plot the optimal bundle, showing the proper indifference curve and budget constraint. Call this bundle x1 b) show the effect of an increase of a single price increase for apples on the budget constraint. Use a hypothetical budget line to identify substitution effects for...
1. Dorothy's utility function is U(B, O) = (B + 2) (0 + 1) where B is her consumption of bananas and O is her consumption of oatmeal. MUB = 0 + 1, MUo = B + 2. (Place Oatmeal on the y axis.) a. Write down the expression and draw Dorothy's indifference curve through (2,8). b. Suppose po = Pb = $1 and M = $11, draw the budget constraint on the same graph as her indifference curve. c....
1. Charlotte loves apples and hates bananas. Her utility function is U (a,b) a-b2/4, where a is the number of apples she consumes and b is the num- ber of bananas she consumes. Assume that Charlotte's income is y • What are the demand functions for Charlotte ? • What are the Engel curves for Charlotte? 2. Wilbur likes both apples and bananas. His utility function is U(a,b) = ab1/2. Assume Wilbur's budget is m, the price of apple is...
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