Question

In: Economics

13 A firm has a production function for steel (x) and aluminum (z) that is q...

13 A firm has a production function for steel (x) and aluminum (z) that is q = 2x + z. If the price of steel is $50 and the price of aluminum is $20, then:

A. the firm is indifferent between using aluminum and steel.

B. the firm should only use aluminum.

C. the firm should only use steel.

D. the firm should use 2 steel for every aluminum.

15 In the short run, a firm 's output level is 10 units. Its total cost is $4000 and its average fixed cost is $100. What is this firm's average variable cost (AVC) of producing 10 units?

A. AVC = $275

B. AVC = $300

C. AVC = $400

D. AVC = $250

17 Economies of scale in autos exists because of

A. increased use of automation as a firm increases size.

B. reduced input costs from volume purchases as a firm increases size.

C. greater demand for autos as costs fall.

D. both A and B.

18 A small business owner earns $120,000 in revenue annually. The explicit annual costs equal $40,000. The owner could work for someone else and earn $75,000 annually. The owner's accounting profit is ________ and the economic profit is ________.

A. $80,000; $5,000

B. $20,000; -$5,000

C. $25,000; -$5,000

D. $45,000; -$5,000

Solutions

Expert Solution

13. B. the firm should only use aluminum.
(MRTS = MPx/MPz = 2/1 = 2 and Px/Pz = 50/20 = 2.5
So, MRTS < price ratio. Thus, only z should be used.)

15. B. AVC = $300
(ATC = TC/Q = 4000/10 = 400
So, AVC = ATC - AFC = 400 - 100 = 300)

17. D. both A and B.
(Increased cost with increase in size produces economies of scale.)

18. A. $80,000; $5,000
(Accounting profit = 120,000 - 40,000 = 80,000
Economic profit = 80,000 - 75,000.= 5,000)


Related Solutions

27) A firm has a production function Q = KL, where Q is the quantity of...
27) A firm has a production function Q = KL, where Q is the quantity of output, K is the amount of capital and L is the amount of labor. MPL=K and MPK=L. a) Suppose that capital is fixed at K=10 in short run. In this case, the marginal product of labor is MPL=10. Does this production function exhibit diminishing marginal returns to labor? b) Suppose that in the short run, K is fixed at 10. The interest rate is...
A firm has a production function Q = KL, where Q is the quantity of output,...
A firm has a production function Q = KL, where Q is the quantity of output, K is the amount of capital and L is the amount of labor. MPL=K and MPK=L . a) Suppose that capital is fixed at K=10 in short run. In this case, the marginal product of labor is MPL=10. Does this production function exhibit diminishing marginal returns to labor? b) Suppose that in the short run, K is fixed at 10. The interest rate is...
Suppose a firm has the production function, Q = 12KL. It has a contract to produce...
Suppose a firm has the production function, Q = 12KL. It has a contract to produce 144 units of output per day. One way to do is to use 3 units of capital (K) and 4 units of labor (L). Suppose a unit of labor costs $2 (wage = w) while a unit of capital costs $3 (r). What is the slope of the isocost line? A) 2/3 B) 1/4 C) 1/3 D) 3/2 At this combination of inputs, is...
Suppose a firm has the production function, Q = 12KL. It has a contract to produce...
Suppose a firm has the production function, Q = 12KL. It has a contract to produce 144 units of output per day. One way to do is to use 3 units of capital (K) and 4 units of labor (L). Suppose a unit of labor costs $2 (wage = w) while a unit of capital costs $3 (r). What is the Marginal Rate of Technical Substitution (MRTS) at this specific input ratio, i.e., K = 3 and L = 4?...
Suppose a firm has the production function, Q = 12KL. It has a contract to produce...
Suppose a firm has the production function, Q = 12KL. It has a contract to produce 144 units of output per day. One way to do is to use 3 units of capital (K) and 4 units of labor (L). Suppose a unit of labor costs $2 (wage = w) while a unit of capital costs $3 (r). What will be the marginal product of capital (MPK) when K = 3 units and L = 4 units? A) MPK =...
A firm has the following production function: Q = K0.8L0.1 Show if this is a constant,...
A firm has the following production function: Q = K0.8L0.1 Show if this is a constant, decreasing, or increasing returns to scale production function? Explain. Find the marginal rate of technical substitution (MRTS) and discuss how MRTS changes as the firm uses more L, holding output constant. Suppose that the wage rate is $10 per hour and the rental rate of capital is $10 per hour. If the firm wants to produce 500 units of output, what is the cost-minimizing...
The production function of a firm is given as Q = 50√KL. Here Q is the...
The production function of a firm is given as Q = 50√KL. Here Q is the output produced, K is the capital input and L is the labor input. Take the partial derivative of the long-term cost function according to the wage, interpret the function you find. Do the same for the rent cost of the capital (take derivative according to r). Interpret the function you find.
A firm has the following production function: q=KL The firm will produce 64 units of output...
A firm has the following production function: q=KL The firm will produce 64 units of output and faces prices for labor and capital of $4 and $1 respectively. What is the optimal quantity of labor and capital the firm should employ in order to minimize the cost of producing 64 units of output? What is the minimum cost of producing 64 units of output? Show the firms optimal production decision on a graph.
A firm has a production function of Q = KL + L, where MPL = K...
A firm has a production function of Q = KL + L, where MPL = K + 1 and MPK = L. The wage rate (W) is $100 per worker and the rental (R) is $100 per unit of capital. a. In the short run, capital (K) is fixed at 4 and the firm produces 100 units of output. What is the firm's total cost? b. In the long run, what is the total cost of producing 100 units of...
a.The production function of Firm X is given as follow: q=10(K0.5)(L0.5) where q, K and L...
a.The production function of Firm X is given as follow: q=10(K0.5)(L0.5) where q, K and L denote firm's output, capital and labor respectively. The marginal product of labor (MPL ) and capital (MPK ) are expressed as follow: MPL  =5(K0.5)(L-0.5) MPK =5(K-0.5)(L0.5) i. What are the capital elasticity of output and labor elasticity of output respectively? ii. If the wage of labor (w) and rental of capital (r) are $100 and $400 respectively, what is the minimum cost required to produce...
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT