A) Sugar and cream are perfect substitutes to Mike in the following way: U(S, C) =...
A) Sugar and cream are perfect substitutes to Mike in the following way: U(S, C) = 5S + C. Suppose sugar is $5 per pound and cream is $1 per pound. Mike has an income of $10. (a) What is his optimal affordable choice? Explain your reasoning.
B) On the graph below, (a) draw his budget line, (b) label his optimal affordable choice(s), and (c) draw the indifference curve that the optimal affordable choice lies on.
Homework Answers
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A) Sugar and cream are perfect substitutes to Mike in the
following way: U(S, C) =...
5. Draw out examples of each of the following indifference curves: imperfect substitutes, perfect substitutes, and...
5. Draw out examples of each of the following indifference curves: imperfect substitutes, perfect substitutes, and perfect complements. 6. Jody enjoys having exactly 1 teaspoon of sugar with every cup of coffee she has. What does this say about her indifference curves between the two goods? What happens to her utility level when she is given 5 teaspoons of sugar with one coffee? (Just an explanation) 7. Jay’s Utility function is given by U(x,z) = 3x10.2 x20.8 and P1=$2 and...
Mary considers spoonfuls of sugar (S) and spoonfuls of medicine (M) to be perfect substitutes and...
Mary considers spoonfuls of sugar (S) and spoonfuls of medicine (M) to be perfect substitutes and always requires 4 spoonfuls of sugar to be willing to give up 2 spoonfuls of medicine (Notice that it means the spoonful of medicine is more valuable for Mary than the spoonful of sugar). Suppose sugar costs $2 per spoonful and medicine costs $3 per spoonful. Mary's income is $18. Which of the following expresses Mary's utility function and optimal consumption bundle? A. U(S,M)...
Exercise 3 For Sandra, coffee and sugar are perfect complements: she wants to consume exactly 2 g...
Exercise 3 For Sandra, coffee and sugar are perfect complements: she wants to consume exactly 2 g of sugar for each cup of coffee. She has S6 to spend on sugar and coffee. One gram of sugar costs 5 cents and one cup of coffee costs 20 cents. Draw a diagram, with sugar on the horizontal axis and cup of coffee on the vertical axis, to answer the following questions. 1. Which bundle will Sandra consume (represented by point A)?...
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...
Exercise 3 For Sandra, coffee and sugar are perfect complements: she wants to consume exactly 2...
Exercise 3 For Sandra, coffee and sugar are perfect complements: she wants to consume exactly 2 g of sugar for each cup of coffee. She has S6 to spend on sugar and coffee. One gram of sugar costs 5 cents and one cup of coffee costs 20 cents. Draw a diagram, with sugar on the horizontal axis and cup of coffee on the vertical axis, to answer the following questions. 1. Which bundle will Sandra consume (represented by point A)?...
3. Jacob receives an allowance of $5 per week. He spends all his allowance on ice...
3. Jacob receives an allowance of $5 per week. He spends all his allowance on ice cream cones and cans of Lemon Fizz soda. If the price of ice cream cones is $0.50 per cone and the price of cans of Lemon Fizz soda is $1 per can, draw a graph showing Jacob’s budget constraint. Be sure to indicate on the graph the maximum number of ice cream cones and the maximum number of cans of Lemon Fizz that Jacob...
Consider a consumer with a utility function u(x1, x2) = min{21, 222}. Suppose the prices of...
Consider a consumer with a utility function u(x1, x2) = min{21, 222}. Suppose the prices of good 1 and good 2 are p1 = P2 = 4. The consumer's income is m = 120. (a) Find the consumer's preferred bundle. (b) Draw the consumer's budget line. (c) On the same graph, indicate the consumer's preferred bundle and draw the indifference curve through it. (d) Now suppose that the consumer gets a discount on good 1: each unit beyond the 4th...
1) Consider a poor person’s annual income of $ 1200. He spends his income only on...
1) Consider a poor person’s annual income of $ 1200. He spends his income only on vegetable and rice. The price of rice is $8/lbs. in the entire town and the price of vegetable is $12/lbs. in the town. Please draw this person’s Budget line, whereby rice is supposed to be on the horizontal Axis and vegetables on the vertical axis. a) Assume that the student considers rice and veggies neither as perfect complements, nor as perfect substitutes. Based on...
3. Suppose Natalie's income is $200 per month, a concert ticket costs $30, a film ticket...
3. Suppose Natalie's income is $200 per month, a concert ticket costs $30, a film ticket costs $5, and her preferences are represented by the utility function U(C, F) where C stands for the number of concerts and F stands for the number of films. (a) What is Natalie's marginal utility of film tickets? (b) What is Natalie's marginal utility of concert tickets? (c) What is Natalie's MRS for film tickets with concert tickets? (d) What is the optimal affordable...
4. Andy's utility is represented by the function U(X,Y) - XY. His marginal utility of X...
4. Andy's utility is represented by the function U(X,Y) - XY. His marginal utility of X is MUx = Y. His marginal utility of Y is MUY = . He has income $12. When the prices are Px - 1 and Py -1, Andy's optimal consumption bundle is X* -6 and Y' = 6. When the prices are Px = 1 and P, = 4, Andy's optimal consumption bundle is X** = 6 and Y* 1.5. Suppose the price of...
Exercise 3 For Sandra, coffee and sugar are perfect complements: she wants to consume exactly 2 g of sugar for each cup of coffee. She has S6 to spend on sugar and coffee. One gram of sugar costs 5 cents and one cup of coffee costs 20 cents. Draw a diagram, with sugar on the horizontal axis and cup of coffee on the vertical axis, to answer the following questions. 1. Which bundle will Sandra consume (represented by point A)?...
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...
Exercise 3 For Sandra, coffee and sugar are perfect complements: she wants to consume exactly 2 g of sugar for each cup of coffee. She has S6 to spend on sugar and coffee. One gram of sugar costs 5 cents and one cup of coffee costs 20 cents. Draw a diagram, with sugar on the horizontal axis and cup of coffee on the vertical axis, to answer the following questions. 1. Which bundle will Sandra consume (represented by point A)?...
Consider a consumer with a utility function u(x1, x2) = min{21, 222}. Suppose the prices of good 1 and good 2 are p1 = P2 = 4. The consumer's income is m = 120. (a) Find the consumer's preferred bundle. (b) Draw the consumer's budget line. (c) On the same graph, indicate the consumer's preferred bundle and draw the indifference curve through it. (d) Now suppose that the consumer gets a discount on good 1: each unit beyond the 4th...
3. Suppose Natalie's income is $200 per month, a concert ticket costs $30, a film ticket costs $5, and her preferences are represented by the utility function U(C, F) where C stands for the number of concerts and F stands for the number of films. (a) What is Natalie's marginal utility of film tickets? (b) What is Natalie's marginal utility of concert tickets? (c) What is Natalie's MRS for film tickets with concert tickets? (d) What is the optimal affordable...
4. Andy's utility is represented by the function U(X,Y) - XY. His marginal utility of X is MUx = Y. His marginal utility of Y is MUY = . He has income $12. When the prices are Px - 1 and Py -1, Andy's optimal consumption bundle is X* -6 and Y' = 6. When the prices are Px = 1 and P, = 4, Andy's optimal consumption bundle is X** = 6 and Y* 1.5. Suppose the price of...
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