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 6
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- Suppose 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.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)
- A market demand function is given by the equation QD = 180 – 2P. Find the value of consumer surplus if price is equal to 65. Illustrate your demand curve and the area of consumer surplus. Identify the area of consumer surplus, the price at which demand is zero, the level of demand if price was zero and the slope (show calculation if required).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?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.) ***
- The graph of a company's profit function is shown. Use the graph to answer the following questions about points A, B, and C. P(x) 5000 P(x) 3000 B. 1000- -1000 - 100 TA 200 300 400 Units (a) Rank from smallest to largest the amounts of profit received at these points. O A, B, C O A, C, B О в, А, С О в, с, А О С, А, В О С, в, А Explain your choices. O The profit is represented by the slope at each point. O The profit is represented by the P(x) coordinates. O The profit is represented by the x coordinates. Note whether any point results in a loss. (Select all that apply.) none of these DollarsFind the marginal profit function if cost and revenue are given by C(x) = 224 + 0.8x and R(x) = 8x – 0.05x2. P'(x) =DRefer to the following payoff table (values are profit): State of Nature Alternative S1 S2 A1 75 −40 A2 0 100 Prior Probability 0.6 0.4 What is the expected payoff of the decision strategy (i.e. using the EMV/EP criterion)?
- Consider the following payoff table that represents the profits earned for each alternative (A, B, and C) under the states of nature S1, S2, and S3. Using the Laplace criterion, what would be the highest expected payoff? S1 S2 S3 A $100 145 120 B $75 125 110 C $95 85 60Find the marginal profit function if cost and revenue are given by C(x) = 223 +0.7x and R(x) = 6x -0.09x² P'(x)=Suppose the demand functions for two products are q1 = f(p1, p2) and q2 = g(p1, p2) wherep1, p2, q1, and q2 are the prices (in dollars) and quantities for products 1 and 2. Consider thefour partial derivatives∂q1/∂p1,∂q1/∂p2,∂q2/∂p1and ∂q2/∂p2,State the sign of each of these partial derivatives if:(a) the products are complementary goods(b) the products are substitute goods.