Musashi plays the cello as part of a string duo and advertises booking opportunities using brochures he distributes in coffee shops around the city. Making one grayscale brochure costs $0.02, but adding color increases the cost to $0.08 per brochure. Musashi sets aside a monthly budget of $14.00 for creating brochures. The following graph shows three of Musashi's indifference curves for the number of grayscale and color brochures that he makes. Use the green line (triangle symbol) to plot Musashi's budget constraint. Then, place the black point (plus symbol) on the graph to indicate Musashi's optimal consumption choice given that budget constraint. GRAYSCALE BROCHURES 1000 900 800 700 600 500 400 300 200 100 4 0 0 25 50 75 100 125 150 175 200 COLOR BROCHURES 225 250 Budget Constraint + Optimum ? At the optimum that you indicated on the graph, Musashi's marginal rate of substitution is equal to 4 brochures in grayscale per brochure in

In Workout problem 5.1, Charlie has a utility function U(xA, xB) = xAxB, the price of apples is $1, and the price of bananas is $2. If Charlie's income were $160, how many units of bananas would he consume if he chose the bundle that maximized his utility subject to his budget constraint?

PROBLEM (4) You have the Cobb-Douglas utility function u(x, y) = xy over apples (x) and plums (y) and you have $120 budget to spend and can carry at most 480 ounces in weight in your backpack going back to the dorm. Each apple costs $1 and weighs 8 ounces, and each plum costs $3 and weighs 4 ounces. You can only leave the store with a bundle of fruits you can afford and carry. (a) Drawing the relevant lines, intercepts, marking the points and hence identifying the feasible set of bundles, calculate the optimal bundle. (b) Forget about (a). If you were to choose a backpack before going on this shopping trip, for the weight constraint not to be an issue for you, how many ounces of weight capacity would you need for your backpack? HINT: That is, for this weight capacity of the backpack, you'd be able to carry the best bundle you can afford, i.e, the weight constraint is not binding for your decision. (c) Forget about (b). In (a), just before going out for shopping with your backpack to…

Suppose the utility possibility frontier for two individuals is given by   U_a+2U_b=200   Please plot the utility frontier on a graph.

Suppose that the price of good X is $6 and the price of good Y is $2. You have $144 to spend and your preferences over X and Y are defined as: U(x,y) = x2/3y1/3 Calculate the marginal utility of X Calculate the Marginal Utility of Y What is the optimal Choice of X and Y given the PX = $6, PY = $2 and I = $144 If Income is increased to $150 calculate how the optimal choice of X and Y change

Ayana is pitching an idea for a startup company that makes and sells solar-powered phonechargers (C). Her market research has found that consumer demand for this product can beexpressed as a function of the price of the charger itself (PC), the price of phones (PF), andthe consmer’s income (I). Consumer demand can be described by the function C(PC, PF, I) =(i−10PC)/ (PF) Suppose her chargers come in all different capacities to meet any quantity demanded, so youdon’t need to worry about restricting C to whole numbers for this problem. (a) Does this product satisfy the law of demand?Explain.

Question 22: Kathy gets utility from three things: the number of flowers in her local park (F), reading books in this park (R), and eating sushi (S). Four utility functions that might describe Kathy's preferences are shown below. In each case, discuss whether reading in the park (R) is non-essential and whether reading (R) and the number of flowers in the park (F) are weak complements. [medium] (a) U(F, R, S) = 2FR+S (b) U(F, R, S) = /2FR+S (c) U(F, R, S) = (V2FR)S (d) U(F, R, S) = v2F + RS

10.6 For every two boxes of strawberries that she consumes, Millicent insists on having one pitcher of cream. She does not, however, insist on consuming the same amount every week. Her utility function is U = min{$₁,2c₁}min{$2,2c2} where s₁ and s2 are the number of boxes of strawberries she consumes this week and next week and c₁ and c₂ are the number of pitchers of cream she consumes this week and next. Strawberries cost $2 a box and cream costs $1 a pitcher. She has a present value of $100 to spend on these goods in the next two weeks. The weekly interest rate is 1%. How many boxes of strawberries will she consume this week? (a) 10 (b) 20 (c) 22 (d) 14.1 (e) 6.06

Every month, a family of three spends $2,000 on food (F) and other items (O). The family’s preferences are represented by the utility function U(F,O) = F1/5O4/5. The unit price of food and the unit price of other items are both $1. Find this family’s monthly food expenditure.The family could join a consumers’ club. At the club, food costs 20% less than in other stores (i.e., at the food club PF = $0.8)

Question 22: Kathy gets utility from three things: the number of flowers in her local park (F), reading books in this park (R), and eating sushi (S). Four utility functions that might describe Kathy's preferences are shown below. In each case, discuss whether reading in the park (R) is non-essential and whether reading (R) and the number of flowers in the park (F) are weak complements. [medium] (a) U(F, R, S) = 2FR+ S (b) U(F, R, S) = /2FR+ S (c) U(F, R, S) = (V2FR)S (d) U(F, R, S) = /2F+ RS