16. Linda consumes two goods: x and y, has preferences that are smooth(utility maximi zation is characterized by the tangency rule), andincome Y=$150.If px $25 and py $5, what is the marginal rate ofsubstitution for Linda at her optimal bundle?5 x5y150+a. -1/2b. 1/5C. -3d. 7/2e. 5

Marginal rate of Substitution: In economics, the marginal rate of substitution states the point at…

Answered: 16. Linda consumes two goods: x and y,…

ENGR.ECONOMIC ANALYSIS

14th Edition

ISBN:9780190931919

Author:NEWNAN

Publisher:NEWNAN

Chapter1: Making Economics Decisions

Section: Chapter Questions

Problem 1QTC

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5. Jonas purchases only two goods, starfruit (S) and kiwi (K). He has an income of $60 and can buy starfruit at $2 per pound and kiwi at $3 per pound. His utility function is U(S,K)=3S+4K. That is, his (constant) marginal utility for starfruit is 3 and his marginal utility for kiwi is 4. What bundle of starfruit and kiwi should he purchase to maximize his utility? Why?
13. Sylvester has an income of $110 that he spends on two goods: X and Y. The price of a unit of Y is $5. The price of a unit of X is $14 for the first four units, but after the fourth unit the price of a unit of X is $9. Sylvester's utility function is U-3X+Y. Sylvester's level of utility when he consumes his optimal consumption basket is utils.
X2 Phil has preferences over olives (x₁) and ice creams (x₂) with a utility function, u(x₁, x₂)= x₁0.5+ x₂0.5. Suppose his income is $16 and the price of olives is $1 and the price of ice creams is $1, too. Which of the following is TRUE? O The utility level when he spends all of his income on good 1 is 8. O The optimal bundle Phil will choose to consume is (6,10). O The utility level at a bundle (1,16) is 11. None of the above. The optimal bundle Phil will choose to consume is (8,8).
2 3 1. The consumer has Cobb-Douglas preferences for two goods x and y: u(x, y) = 10x¾yš Py> 0 and m > 0 is given. a) Set up the Expenditure Minimization Problem. b) Calculate MU and MUy. Ꮖ c) State the condition that explain why Cobb-Douglas preferences will guarantee an interior solu- tion. c) Give the two optimality conditions for x and y. i) ii) Px > 0, e) Solve for the compensated demand functions for good x and y.

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16. Linda consumes two goods: x and y, has preferences that are smooth (utility maximi zation is characterized by the tangency rule), and income Y=$150. If px $25 and py $5, what is the marginal rate of substitution for Linda at her optimal bundle? 5 x 5y 150 + a. -1/2 b. 1/5 C. -3 d. 7/2 e. 5