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Consider a product market with three consumers A, B and C with demand function PA = 6 – QA, PB = 6 – 2QB and PC = 12 – QC respectively, where P is the price in dollars and QA, QB and QC are the quantities demanded by Consumer A, B and C respectively. The marginal cost of the product is constant at $4.
(i) If the product is public good, analyse the product and determine the optimal quantity of the product in the market.
(ii) How will your answer be different if the product is a private good instead?
(Hi there, may I requst for a detailed step by step explanation as i struggle with this topic. Thank you)
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- Consider a product market with three consumers A, B and C with demand function PA = 6 – QA, PB = 6 – 2QB and PC = 12 – QC respectively, where P is the price in dollars and QA, QB and QC are the quantities demanded by Consumer A, B and C respectively. The marginal cost of the product is constant at $4. (i) If the product is public good, analyse the product and determine the optimal quantity of the product in the market.(ii) How will your answer be different if the product is a private good instead?Answer the question on the basis of the following marginal utility data for products X and Y. Assume that the prices of X and Y are $4 and $2, respectively, and that the consumer's income is $18. Units of X 1 2 3 4 5 Marginal Utility, X Multiple Choice 20 16 12 8 6 4 4 of X and 5 of Y What quantities of X and Y should be purchased to maximize utility? O 2 of X and 1 of Y O 2 of X and 6 of Y Units of Y 1 2 3 4 5 6 O2 2 of X and 5 of Y Marginal Utility, Y 16 14 12 10 8 6Suppose that the utility function for two goods X and Y is given by U = x2y. (a) Write the equation of the indifference curve for a consumer who purchases 8 units of X and 25 units of Y. (b) If the consumer purchases 100 units of Y, how many units of X must be purchased to retain the same level of utility?
- Translate the following monetary payoffs into utilities for a decision maker whose utility function is described by an exponential function with R = 250: –$200, –$100, $0, $100, $200, $300, $400, $500.The supply and demand equations of a good are given by the following formulas P=2Qs +48 P= -6QD+ 160 Find the equilibrium price and quantity. The equilibrium quantity is. (Type an integer or a decimal.) ***1. Consider a pure exchange economy with two goods and two consumers. Let F denote food and C denote clothing. Lacy has the utility function U(F, C) = F 1/3 C 2/3 . Roy has the utility function V (F, C) = F 2/3 C 1/3 . Each consumer has an initial endowment consisting of 9 units of F and 9 units of C. Normalize the price of F to one. Let P denote the price of C. (a) Is the initial endowment a Pareto efcient allocation of F and C between the two con sumers? Explain briefy. (b) What is each consumer’s demand for F and C as a function of P? [Hint: the wealth of each consumer is 9 + 9P.] (c) What is the price of C in a competitive equilibrium? (d) What is the allocation of F and C between the two consumers in a competitive equilibrium?
- Consider a market with the following supply and demand. (It may help to draw a graph for these questions.) P 5 6 7 8 9 10 11 12 13 14 QS 200 300 400 500 600 700 800 900 1000 1100 QD 800 750 700 650 600 550 500 450 400 350 If there is an external cost of $3, what is the efficient quantity? 500 (already answer) If there is an external benefit of $3, what is the efficient quantity? 700 (already answer) For the remaining questions assume that there is a $3 external COST. If the government wants to get the efficient quantity with a per/unit tax, how much should the tax be? 3 (already answer) Now imagine that they use tradable allowances. If they cap the quantity at 400 what would the value of these allowance be in the market? (Assume the…Consider a market with the following supply and demand. (It may help to draw a graph for these questions.) P 5 6 7 8 9 10 11 12 13 14 QS 200 300 400 500 600 700 800 900 1000 1100 QD 800 750 700 650 600 550 500 450 400 35 For the questions assume that there is a $3 external COST. 1. Now imagine that they use tradable allowances. If they cap the quantity at 400 what would the value of these allowance be in the market? (Assume the market is perfectly competitive and that "one allowance" lets you produce one unit of the good.) 2. What will they be worth if the quantity is capped at 500? 3. What if it is capped at 700?2) Suppose there are two consumers in an economy: consumer A and consumer B. They have two goods (x and y) allocated between them. A has 5 units of x, B has 15 units of x. A has 5 units of y, B has 5 units of y. Consumers have identical utility functions given by U=x*y. a) Draw the Edgeworth box showing the current allocation of the two goods. Put consumer A in the lower left-hand corner, and consumer B in the upper right-hand corner. b) To your Edgeworth box add the two consumers' indifference curves going through the initial allocation point, clearly showing that the allocation is not efficient. Explain why it is not efficient, using the MRS calculations. c) Suggest a trade that would increase both consumers' utility. (Several correct answers are possible). Is your proposed allocation efficient? d) What does the contract curve look like in this economy? Derive its formula and add its graph to your Edgeworth box.
- The following question is based on the demand and cost data for a pure monopolist given in the table below. Output Price Total Cost 0 $500 $250 12345 300 260 250 290 200 350 150 500 100 680 Refer to the above table. If the monopolist were forced to produce the socially optimal output through the imposition of a ceiling price, the ceiling price would have to be set at: O $100 $150 O $200 $250 www.yout House of High Ant SWEPT his OVER HIMThe following profit payoff table was presented in Problem 1: The probabilities for the states of nature are P(s1) = 0.65, P(s2) = 0.15, and P(s3) = 0.20. What is the optimal decision strategy if perfect information were available? What is the expected value for the decision strategy developed in part (a)? Using the expected value approach, what is the recommended decision without perfect information? What is its expected value? What is the expected value of perfect information?2. Consider the production functions given below: a. Suppose that the production function faced by a bread producer is given by Q = 4KL, where MPK = 4L and MP, = 4K. i. Do both labor and capital display diminishing marginal products in the short run? Explain. ii. Find the marginal rate of technical substitution for this production function. (Hint: The MRTS MPL MPK iii. Does this production function display a diminishing marginal rate of technical substitution? iv. Graph isoquants for Q = 20, and Q = 40. Put capital (K) on the y-axis and labor (L) on the x- axis. Label the isoquants with their quantities. v. What are the returns to scale for this firm? Explain. 20 19 18 17 16 15 14 13 12 11 10 9 0 1 2 3 4 5 6 00 9 10 11 12 13 14 15