Suppose a consumer has budget of $120 per week to spend on food. Consumer can choose...
1. Consider an individual demand function g 100-5P a. Solve for inverse demand. Plot. b. Suppose the market consisted of 5 buyers, each having the same individual demand. Find and plot the market demand c. Use the found market demand to determine the price (and quantity) that would maximize sellers revenue (assuming 1 seller). Ililustrate. (Attempt) If the seller's costs were $5 per unit, what would be the seller's profit-maximizing price and quantity? Illustrate your solution. d. 2. Suppose a...
Consider a consumer with a utility function u(x1, x2) = min{21, 222}. Suppose the prices of good 1 and good 2 are p1 = P2 = 4. The consumer's income is m = 120. (a) Find the consumer's preferred bundle. (b) Draw the consumer's budget line. (c) On the same graph, indicate the consumer's preferred bundle and draw the indifference curve through it. (d) Now suppose that the consumer gets a discount on good 1: each unit beyond the 4th...
2. Ali has a $7 weekly budget that he spends on songs (S, SI per download) and prosein bars (B, S1 per bar). His usility information for the two products is below from songsof a song y fTotal utiliay Marginal wtilityQuantity ofTotal utility Marginal utility of a bar from bars protein bars 10 18 14 18 21 28 30 31 a) Calculate Ali's marginal utilities and finish the filling out the table b) If Ali spends his entire budget on...
Each week a U.S. consumer may prepare home cooked meals (9) as well as eat out at a restaurant (9). Suppose the average price of a home cooked meal is p. =15, the price of eating out is p, = 20, and average spending is $300 per week. The typical consumer picks q, and q2 to maximize utility function U = 7.subject to their budget. 5. Now consider an increase in an individual's budget (Y) relative to problem I while...
Suppose that a consumer has a utility function given by u(x1, x2) = 2x1 + x2. Initially the consumer faces prices (2, 2) and has income 24. i. Graph the budget constraint and indifference curves. Find the initial optimal bundle. ii. If the prices change to (6, 2), find the new optimal bundle. Show this in your graph in (i). iii. How much of the change in demand for x1 is due to the substitution effect? How much due to...
Question: Consider a consumer with utility function4, income Z, and who faces market prices of p, and py (a) Use our optimality condition of MRSy MRTay to find the relationship between x and y which must always be satisfied by a bundle that maximizes the consumer's utility (b) After incorporating the consumer's budget to the problem, calculate the consumer's de- mand for x and y which we will call x(P Z) and y(Py, Z), respectively, because it empha- sizes the...
Suppose that a consumer consumes only food(F) and entertainment(E). Suppose PF = $5, PE = $10, I = $600. Suppose the utility function is u(F, E) = F E. (a) Find the optimal bundle. (b) Suppose now that the consumer has to have a minimum of 50 units of F, and a maximum of 20 units of E. Draw the new budget constraint and find the new optimal bundle.
how did they get MRS= -x2/x1? Consider the utility function u ( 2 2) = Inc. +Inc. Suppose that the initial situation s given by Pi = 1, P2 = 2 and m = 100. Note that MU = 1 and MU2 = a) Find the consumer's optimal consumption bundle (0,2) and his utility at this consumption bundle. Solution: The budget line is 2.02 = 100 - 21 (1) Since the optimal bundle is an interior point, the tangency condition...
A Consumer's Demand for Burgers Suppose that the consumer has income, I = $20, and the price of French fries is pe = $2. You are given the following information about the price of burgers and the number of burgers the consumer will buy at that price: Price of Burgers Quantity of Burgers A B C $1.00 $2.00 $5.00 10 5 2 Use an indifference curve and budget line diagram to draw the consumer's three budget lines and three optimal...
Suppose a consumer has quasi-linear utility: u(x1, x2) = 3.01 + x2. The marginal utilities are MU(X) = 2x7"! and MU2:) = 1. Throughout this problem, assume P2 = 1. (a) Sketch an indifference curve for these preferences (label axes and intercepts). (b) Compute the marginal rate of substitution. (c) Assume w> . Find the optimal bundle (this will be a function of pı and w). Why do we need the assumption w> (d) Sketch the demand function for good...