Microeconomics
2nd Edition
ISBN: 9780073375854
Author: B. Douglas Bernheim, Michael Whinston
Publisher: MCGRAW-HILL HIGHER EDUCATION
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Question
Chapter 5, Problem 6CP
To determine
Explain Person S’s marginal rate of substitution for MRSCF, her best choice for an interior solution, and the price of the boundary choice.
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Students have asked these similar questions
Pele enjoys coffee (C) and tea (T) according to the function
U(C, T) = 6C + 8T
(a) What does her utility function say about her MRS of coffee and tea?
(b) Suppose the price of coffee (PC) and the price of tea (PT) are both $3. If Alana has $12 to spend
on these products,
i. How much coffee and tea should she buy to maximize her utility?
ii. Draw a carefully labeled graph of her indifference curve map and her budget constraint. Put the
quantities of coffee on the horizontal axis. Be sure to identify the utility maximizing point.
(c) Would Alana buy more coffee if she had more income? Explain.
(d) Suppose the price of coffee fell to $2. How would her consumption change?
Consumer spends $360 per week on two
goods, X and Y. PX=$ 3 and PY=$2. His utility
function is U= 2X2Y.
What quantities of X and Y does he buy each
week in equilibrium?
Linda loves buying shoes and going out to dance. Her utility function for pairs of shoes, S, and the number of times she goes dancing per month, T, is U(S + T) = 2ST, so Mus = 2T and Mut = 2S. It costs Linda $50 to buy a new pair of shoes or to spend an evening out dancing. Assume that she has $500 to spend on shoes and dancing
What is the equation for her budget line? Draw it (with T on the vertical axis), and label the slope and intercepts.
What is Linda’s marginal rate of substitution? Explain.
Use math to solve for her optimal bundle. Show how to determine this bundle in a diagram using indifference curves and a budget line
Chapter 5 Solutions
Microeconomics
Ch. 5 - Prob. 1DQCh. 5 - Prob. 2DQCh. 5 - Prob. 3DQCh. 5 - Prob. 4DQCh. 5 - Prob. 1PCh. 5 - Prob. 2PCh. 5 - Prob. 3PCh. 5 - Prob. 4PCh. 5 - Prob. 5PCh. 5 - Prob. 6P
Ch. 5 - Prob. 7PCh. 5 - Prob. 8PCh. 5 - Prob. 9PCh. 5 - Prob. 10PCh. 5 - Prob. 11PCh. 5 - Prob. 12PCh. 5 - Prob. 13PCh. 5 - Prob. 14PCh. 5 - Prob. 15PCh. 5 - Prob. 16PCh. 5 - Prob. 1CPCh. 5 - Prob. 2CPCh. 5 - Prob. 3CPCh. 5 - Prob. 4CPCh. 5 - Prob. 5CPCh. 5 - Prob. 6CPCh. 5 - Prob. 7CPCh. 5 - Prob. 8CP
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Similar questions
- EXERCISE 6 If Ginna spends her entire budget, she could buy a chosen set of groceries and also buy 10 notebooks. If she spends only half of her budget, she could only buy a set of groceries and could not afford any notebooks. Suppose Ginna's budget is £150. Her preferences for groceries (G) and notebooks (N) can be described by the following utility function: U(G, N) = 30G + 2N (MUG = 30, MUN = 2). a) Find Ginna's optimal consumption bundle. Provide both algebraic and graphical solution. Explain your reasoning. b) Discuss how the price of a notebook should change for Ginna to change her optimal consumption choice. c) If the price of a notebook increases by 50%, how should the price of the groceries drop so that Ginna can be as well off as before this change in prices? d) Discuss the implications of the price change from c) on Ginna's optimal choice. In your discussion, include the analysis of the substitution and income effects as well as Ginna's demand for groceries and/or notebooks.arrow_forwardLiz has a utility function of U(X,Y)=30XY, where X is food and Y is the composite good. The price of food is 10$ per unit. She has a 800 budget. What is her optimum amount of X to consume? Liz has a utility function of U(X,Y)=40XY, where X is food and Y is the composite good. The price of food is 10$ per unit. She has a 400 budget. The government assigns a 600$ subsidy to Liz With the hope that she will increase her food consumption. What is the new amount of X consumption for Liz?arrow_forwardJason has the following utility function: U = F2C where F is food and C is clothing. Clothing is measured on the vertical axis while food is measured on the horizontal one. Suppose the price of food is €3 per unit, the price of clothing is €2 per unit and that Jason’s income is €36. Calculate the number of units of clothing that Jason consumes in equilibrium. Mary has a different utility function than Jason in Question 2 but faces the same prices as him. Suppose she also only consumes food and clothing but we do not know her utility function or her income. What is Mary’s marginal rate of substitution of food for clothing when her utility is maximized? Explain your answer briefly.arrow_forward
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