marginal utility for custard (U.). What is Amelia's marginal rate of substitution (MRS)? Give a brief (2 sentences maximum) intuitive description of what MRS represents. If Amelia has 4 units of custard, holding her utility constant, how many units of custard would she be willing to give up in order to get one more unit of fish? Graph Amelia's indifference curve for a utility level of 40. Be sure to specify at least 3 bundles of goods on the indifference curve. Does the fact that Amelia's indifference curve intersects with the custard axis violate any of the 5 properties of indifference curves? Briefly support your answer.

7. MRS and utility maximization Suppose your classmate Felix loves to eat dessert-so much so that he allocates his entire weekly budget to apple crisp and pie. The price of one bowl of apple crisp is $1.75, and the price of a piece of coconut crème pie is $7.00. At his current level of consumption, Felix's marginal rate of substitution (MRS) of apple crisp for pie is 5. In other words, Felix is willing to sacrifice five bowls of apple crisp for one piece of pie per week. Does Felix's current consumption bundle maximize his utility? That is, does it make him as well off as possible? If not, how should he change it to maximize his utility? Felix could increase his utility by buying more apple crisp and less pie per week. Felix could increase his utility by buying less apple crisp and more pie per week. Felix's current bundle maximizes his utility, and he should keep it unchanged.

1. Jim's preferences for pears and apples can be summarized by the following utility function: U(Xa,Xp)=XaXp where xa is the quantity of apples and xp is the quantity of pears. a) Draw an indifference curve for Jim by calculating a series of bundles that all produce the same level of "utility" and plotting them. Interpret the slope of the indifference curve (the marginal rate of substitution). b) Calculate the formula for Jim's marginal rate of substitution, as a function of apples and pears consumed.¹ c) What happens to the numeric value of Jim's marginal rate of substitution along an indifference curve (i.e., holds his utility constant) as he increases the number of pears he consumes and decreases the number of apples? For example, compare his MRS for a bundle consisting of 9 apples and 4 pears to his MRS for a bundle consisting of 9 pears and 4 apples and interpret the change. d) Suppose something increases Jim's desire for apples (for example, apples are found to reduce the risk of…

Lisa consumes only two goods, pizzas and burritos. In equilibrium, her marginal utility per slice of pizza is 10 and her marginal utility per burrito is 8. Instructions: Enter your answer rounded to two decimal places. If a slice of pizza costs $3, then the price of a burrito must be $

Alice receives an allowance of 500 dollars that she spends on buying snacks (S) and tea (T). The price of each snack is 10 dollars and the price of each tea is 5 dollars. Her utility is given by: U (S, T) = 2S³/4 +T3/4 (a) Find her marginal rate of substitution (MRS) between S and T. (b) Write Alice's budget constraint. (c) Find Alice's optimal consumption and the optimal A. (d) What is her new consumption if the price of tea becomes 10 dollars? Note: numeric solutions for questions (c) and (d) are not integers.

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 =…

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When plotted Sarah's indifference curve for coffee and tea reveals parallel indifference curves that always have a slope of -1. Suppose that Sarah's budget constraint is 20 -1.5C+1.0T where C is the quantity of coffee and T is tea. If Sarah wants to maximize utility, she will buy: a) equal amount of coffee and tea b) coffee only c) tea only d) more coffee than tea e) a combination of coffee and tea cannot be determined from the information given