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12. A firm produces a commodity at two different factories. The overall cost C of production...
2. A firm produces two different kinds, A and B, of a commodity. The daily cost...
2. A firm produces two different kinds, A and B, of a commodity. The daily cost of producing x units of A and y units of Bis C(x,y)=2x² - 4xy + 4y2 - 40x - 20y + 514 Suppose that the firm sells all its output at a price per unit of $24 for A and $12 for B. (a) Find the daily production levels x and y that maximize profit. (b) The firm is required to produce exactly 54...
A firm has three factories each of which produces the same item. Let x, y, and z denote the respe...
A firm has three factories each of which produces the same item. Let x, y, and z denote the respective numbers of units that are produced at the three factories in order to cover a total order for 2000 units. Hence, x +y+ z-2000 units. The cost functions for the three factories are ()200102 22003 (a) 200+10z Find x, y and z that minimize C, the total cost of production. Show that total cost is indeed the minimum at these...
E Iheorem 13.2.1 to prove that it is a A firm produces two different kinds, A and B, of a commodi...
2 and 4b please
e Iheorem 13.2.1 to prove that it is a A firm produces two different kinds, A and B, of a commodity. The daily cost of producing Q its of A and Q2 units of B is C(Q1,02)-0.10 +0102 +Q. Suppose that the firm sells all its output at a price per unit of P1 120 for A and P290 for B. (a) Find the daily production levels that maximize profits. (b) If P2 remains unchanged at...
5. (20 points) An entrepreneur purchases two factories to produce frisbees. Each factory produces...
5. (20 points) An entrepreneur purchases two factories to produce frisbees. Each factory produces identical products, and each has a production function given by: he factories differ, however, in the amount of capital equipment each has. Factory 1 has K1-25 and factory 2 has K2 -100. The wage rate and the rental rate for capital are givern If the entrepreneur wishes to minimize short-run total costs of frisbee production, how should output be allocated between the two factories? Please explain...
Suppose a manufacturing firm has two factories (Factory 1 and Factory 2), and a single production process (Process A) that is used in both factories. A new process (Process B) is developed that potent...
Suppose a manufacturing firm has two factories (Factory 1 and Factory 2), and a single production process (Process A) that is used in both factories. A new process (Process B) is developed that potentially reduces production costs. To test whether Process B is less costly than Process A, an experiment is designed where: Within each Factory, products are assigned randomly to Process A or Process B. Production costs for each product are recorded. Note that resources (i.e. materials, workers, equipment)...
Two firms produce apples in Santa Cruz—call them firm 1 and firm 2. Apples produced by...
Two firms produce apples in Santa Cruz—call them firm 1 and firm 2. Apples produced by firm 1 are indistinguishable from apples produced by firm 2. The marginal cost of producing a bushel of apples is 200. The total demand for apples in Santa Cruz is given by P = 1400 – Q, and the firms compete in quantities, i.e., Cournot competition. Let q1 and q2 denote the production of apples by the two firms, and Q = q1 +...
2 3 and 4 b. What is the average variable cost of producing 2 units of output What is the marginal cost of producing 2 units of output? c. The following table summarizes the short-run production f...
2 3 and 4
b. What is the average variable cost of producing 2 units of output What is the marginal cost of producing 2 units of output? c. The following table summarizes the short-run production function for your firm. Your product sells for $5 per unit, labor costs $5 per unit, and the rental price of capital is $25 per unit. Complete the following table, and answer the questions below; 2. 1 5 10 5 30 3 5 60...
Question 2 (60 points) Consider two following Cournot competition between two firms, Firm 1 and Firm...
Question 2 (60 points) Consider two following Cournot competition between two firms, Firm 1 and Firm 2. The firms face an inverse demand function P = 600-Q where Q = 91 + 92 is the total output. Each unit produced costs c-$60. Therefore the profit of each farmer is given by π1 (J1.qz) = (600-91-J2)a1-6091 712 (41,42) (600 q1 q2)42-6092 Each firm. i simultaneusly chooses own qi to maximize own profits πί. a) (15 points) Find the Cournot NE quantities...
2. Cournot competition: P1 and P2 (independently and simultaneously) choose quantities, qi and q2. The cost...
2. Cournot competition: P1 and P2 (independently and simultaneously) choose quantities, qi and q2. The cost of producing q units is c(ai)i and the demand curve is given by P(O) 10 Q: (i.e., if P1 produces qi and P2 produces q2; each sells all his units at price 10 1 92 (a) Find all NE. b) Now suppose that the game is played twice. Each firm chooses both a production quantity, and, firm 2 can choose to donate some of...
EXERCISE 1 COST MINIMIZATION, PART I Consider a firm with a Cobb-Douglas production function defined by...
EXERCISE 1 COST MINIMIZATION, PART I Consider a firm with a Cobb-Douglas production function defined by the equation Q = 32K0.5 0.25 where Q is output, K the capital input and I the labour input. The prices of both production factors are given to the firm: labour costs w = 32 per unit, capital r = 16 per unit. Imagine that the firm wants to produce 512 units of output at minimum cost. (a) Determine the (unique) stationary point, say...
2. A firm produces two different kinds, A and B, of a commodity. The daily cost of producing x units of A and y units of Bis C(x,y)=2x² - 4xy + 4y2 - 40x - 20y + 514 Suppose that the firm sells all its output at a price per unit of $24 for A and $12 for B. (a) Find the daily production levels x and y that maximize profit. (b) The firm is required to produce exactly 54...
A firm has three factories each of which produces the same item. Let x, y, and z denote the respective numbers of units that are produced at the three factories in order to cover a total order for 2000 units. Hence, x +y+ z-2000 units. The cost functions for the three factories are ()200102 22003 (a) 200+10z Find x, y and z that minimize C, the total cost of production. Show that total cost is indeed the minimum at these...
2 and 4b please
e Iheorem 13.2.1 to prove that it is a A firm produces two different kinds, A and B, of a commodity. The daily cost of producing Q its of A and Q2 units of B is C(Q1,02)-0.10 +0102 +Q. Suppose that the firm sells all its output at a price per unit of P1 120 for A and P290 for B. (a) Find the daily production levels that maximize profits. (b) If P2 remains unchanged at...
5. (20 points) An entrepreneur purchases two factories to produce frisbees. Each factory produces identical products, and each has a production function given by: he factories differ, however, in the amount of capital equipment each has. Factory 1 has K1-25 and factory 2 has K2 -100. The wage rate and the rental rate for capital are givern If the entrepreneur wishes to minimize short-run total costs of frisbee production, how should output be allocated between the two factories? Please explain...
2 3 and 4
b. What is the average variable cost of producing 2 units of output What is the marginal cost of producing 2 units of output? c. The following table summarizes the short-run production function for your firm. Your product sells for $5 per unit, labor costs $5 per unit, and the rental price of capital is $25 per unit. Complete the following table, and answer the questions below; 2. 1 5 10 5 30 3 5 60...
Question 2 (60 points) Consider two following Cournot competition between two firms, Firm 1 and Firm 2. The firms face an inverse demand function P = 600-Q where Q = 91 + 92 is the total output. Each unit produced costs c-$60. Therefore the profit of each farmer is given by π1 (J1.qz) = (600-91-J2)a1-6091 712 (41,42) (600 q1 q2)42-6092 Each firm. i simultaneusly chooses own qi to maximize own profits πί. a) (15 points) Find the Cournot NE quantities...
2. Cournot competition: P1 and P2 (independently and simultaneously) choose quantities, qi and q2. The cost of producing q units is c(ai)i and the demand curve is given by P(O) 10 Q: (i.e., if P1 produces qi and P2 produces q2; each sells all his units at price 10 1 92 (a) Find all NE. b) Now suppose that the game is played twice. Each firm chooses both a production quantity, and, firm 2 can choose to donate some of...
EXERCISE 1 COST MINIMIZATION, PART I Consider a firm with a Cobb-Douglas production function defined by the equation Q = 32K0.5 0.25 where Q is output, K the capital input and I the labour input. The prices of both production factors are given to the firm: labour costs w = 32 per unit, capital r = 16 per unit. Imagine that the firm wants to produce 512 units of output at minimum cost. (a) Determine the (unique) stationary point, say...
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