Given the following utility function: and marginal utilities: A consumer facing the following prices: chooses to consume Assume that graphically good X is on the horizontal axis and good Y is on the Given this consumption bundle, the marginal rate of substitution is equal to - Given this value, the consumer should consume U = 2X + 2Y MU, -2, MU, = 2 P, = $2, P, -5 15 units of good X and 19 units of good Y. vertical axis. (Round your answer to two decimal places. Note that the minus sign is already included.). in order to maximize his/her utility.

1) Max chooses to purchase movie tickets and restaurant meals every week with his $100. If the price of a movie ticket is $20 and the price of a restaurant meal is $25, then the slope of his budget constraint will be, a) 1/5 b) -1/5 c) 4/5 d) -4/5   2) Marginal rate of substitution(MRS) is the rate at which consumer is willing to trade one good for another. It must be true that: a) MRS is the slope of an indifference curve in reference to a particular bundle of goods. b) MRS is not the same along an indifference curve that is of usual shape. c) MRS is same along an indifference curve that is of usual shape. d) Both a) and b).

Peter's preferences over two goods, x and y, are represented by the utility function u(x, y) = y + 2x. a) Peter is currently consuming bundle A = (2,4) with 2 units of good x and 4 units of good y. Calculate his current level of utility from consuming this bundle. b) Write the expression the indifference curve representing Peter's current level of utility (i.e., the one you found in part (a). Next draw this indifference curve. c) By looking at the indifference curve you drew in part (b), answer the following questions: Does Peter like good x? Good y? Explain. What can you say about the marginal rate of substitution of good x for y, MRSxy? Is it positive? Negative? Constant? Increasing? Decreasing? Interpret/explain your answer in terms of the tradeoffs Peter is willing to make between goods to keep the same utility level. d) On the same graph you drew in part (b), draw the indifference curve for a utility level of 10. Plot and label in the graph bundles B = (1,2), C = (1,6), and D =…

8. Fabian consumes X and Y and the following utility function represents his utility: U = 2XY a. With a utility function of U = 2XY, Fabian's MU, = 2Y and his MU, = 2x ,where MU is marginal utility. Write an equation for Fabian's marginal rate of substitution (MRS). b. Suppose Fabian's income is $120 and Px = S6 and Py-$2, where Px is the price of X and Py is the price of Y. Write an equation for Fabian's budget constraint. c. Write the equation that equates the slope of Fabian's budget constraint to the slope of Fabian's indifference curve: d. If Fabian is spending all of his income, how much X and how much Y will he choose? Use the equations you wrote in part's b and c to answer this question. e. What will Fabian's utility be with this combination of X and Y? f. Now suppose the price of X increases to P.=10. Write the equation that equates the slope of Fabian's budget constraint to the slope of Fabian's indifference curve. How will this change the optimal combination of X and Y? What…

The goods in the next question are not ale and bread. To solve this question, you are going to have to evaluate the condition The price p is defined for you, but you will have to define the marginal rate of substitution for yourself. What ratio of marginal utilities should you use? You will know the answer to this question once you have defined the marginal rate of substitution – that is, decided which good is being given up and which good is being given in compensation. When making this decision, remember that both sides of this equation refer to the same kind of trade. The right-hand side describes the rate at which one good can be traded for the other in the marketplace; and the left-hand side describes the rate at which someone is willing to trade that good for the other. Thus, the definition of the price determines the manner in which the marginal rate of substitution must be defined. Pierre lives on red wine and blue cheese. His utility function is. where w is his…

For the utility function,  U = 2x1/2 + y  What are the income and substitution effect of price changes in Px and Py respectively?