Imagine you are in a spy movie and have infiltrated an enemy production facility. You have learned that the production function is Q = /min(x, y). hat the price of input x is one, that the price of input y is one, and that the output-maximizing input combination is 0.5VT+4c-0.5,c- 0.5VT+4c+0.5), where c is the budget. )How much will it cost the enemy to produce 1 unit? )How much will it cost the enemy to produce 2 units?
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Q: 1. Juan Valdez owns a coffee farm in Colombia. His production function is: f(x1, x2) = (x1 – 1)0.25…
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A: Hi Student, thanks for posting the question. As per the guideline we are providing answers for the…
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- The optimal quantity of a product A in an optimal bundle (of products A, B, C,..., etc.) will be where the marginal benefit ( MU) of the optimal quantity of A is equal to the marginal cost ( P) of the product A. True or False?Elsa lives alone on an island with two goods, bananas and fresh water. Her utility function is U = BW where B is the amount of bananas she consumes and W the amount of water. Her production function for bananas is B = 6LB where LB is the amount of labour time she devotes to bananas. Her production function for water is W = 2LW where LW is the amount of labour time she devotes to water. If the total time she has available is 10, what should she do to maximize her utility?Recall that Casper's utility function is 3x + y, where x is his consumption of cocoa and y is his consumption of cheese. If the total cost of x units of cocoa is x2, the price of cheese is $8, and Casper's income is $184, how many units of cocoa will he consume?
- You are the manager of a firm that specializes in small single-board widgets.Your goal is to determine the number of units (Z) that must be produced and sold by your firm each month in order to maximize profits. The total benefits (revenues) and costs to your firm of producing various quantities are given in the first three columns of the following table. Based on this scenario, complete the table and answer the accompanying questions: Control Variable (Z) Total Benefits B(Z) Total Cost C(Z) Net Benefits N(Z) Marginal Benefit MB(Z) Marginal Cost MC(Z) Marginal Net Benefit MNB(Z) 0 0 0 1 200 10 2 380 30 3 540 60 4 680 100 5 800 150 6 900 210 7 980 280 8 1040 360 9 1080 450 10 1100 550 A. Graph the total cost and total benefit curves.B. On another graph, plot the points for the marginal cost, marginal benefit, and marginal net benefit.C. Show how the two…You are the manager of a firm that specializes in small single-board widgets.Your goal is to determine the number of units (Z) that must be produced and sold by your firm each month in order to maximize profits. The total benefits (revenues) and costs to your firm of producing various quantities are given in the first three columns of the following table. Based on this scenario, complete the table and answer the accompanying questions: Control Variable (Z) Total Benefits B(Z) Total Cost C(Z) Net Benefits N(Z) Marginal Benefit MB(Z) Marginal Cost MC(Z) Marginal Net Benefit MNB(Z) 0 0 0 1 200 10 2 380 30 3 540 60 4 680 100 5 800 150 6 900 210 7 980 280 8 1040 360 9 1080 450 10 1100 550 a. How many units (Z) maximize net benefits?b. What is the relationship between marginal benefits and marginal costs at the level of Z you determined above?c. Graph the total…Assume an economy consists of two agents, a and b. Individual a has available 1 unit of time which he divides between leisure ra and labor ℓa . Likewise, individual b has available 1 unit of time which he divides between leisure rb and labor ℓb. Commodity x is produced by one competitive firm according to the production function: x=√L , where L denotes labor hired. The firm is fully owned by agent a. The utility function of the two individuals are: u(xa,ra)=xara and u(xb,rb)=xbrb . Taking the price of labor as the numéraire (i.e. w=1), find the competitive equilibrium for this economy.
- A firm is attempting to maximize output given a budget. Draw a graph that illustrates the output-maximizing input combination. Suppose the cost of capital decreases. Show the new isocost line and the new output-maximizing combination of inputs.Which of the following statements accurately describes typical indifference curves? a. The slope of an indifference curve indicates the marginal rate of transformation. b. Indifference curves are down-sloping due to the diminishing average product. c. An indifference curve traces combinations of production inputs which yields the same level of production cost. d. Indifference curves represent the constraints that individuals face in their decision-making process. e. Further away from the origin an indifference curve is located, the higher level of utility it represents.Dick, Jane, and their dog, Spot, share an apartment. Their utilities depend upon the cleanliness of the apartment and the hours spent doing housework. Dick and Jane are both averse to housework, though Dick finds it especially troublesome. Their utility functions are where c is an index of cleanliness and h represents hours of housework. The degree of cleanliness is determined by the “production function” a) Define the marginal rate of substitution MRSi as the increase in cleanliness that exactly compensates person i for one more hour of housework: and define the marginal rate of transformation as the number of hours of leisure that must must be given up to generate a one unit increase in cleanliness. Find the Samuelson condition for this economy. b) An allocation is a triplet (h D, hJ, c). What two conditions must a Pareto optimal allocation satisfy? Show that there are Pareto optimal allocations in which Dick, despite his aversion to housework, does more…
- A college football coach says that given any two linemen A and B, he always prefers the one who is bigger and faster. Is this preference relation transitive? Is it complete? The production function for puffed rice is given by q , where q is the number of boxes produced per hour, K is the number of puffing guns used each hour, and L is the number of workers hired each hour. Calculate the q = 1,000 isoquant for this production function and show it on a graph. If K = 10, how many workers are required to produce q = 1,000? What is the average productivity of puffed-rice workers? Suppose technical progress shifts the production function to , answer parts a and b for this new situation.Describe the Edgeworth box.A firm can manufacture a product according to the production function Q=3K1/2L1/2, and capital is fixed at 4. a) When the firm hires 16 units of labor. The average product of labor is......... b) when the firm hires 16 units of labor, the marginal product of labor is....... C) if the firm can sell its output at a price of $ 10 per unit and can hire labor at $ 10 per unit , it should hire?............units of labor maximize the profits.