A firm produces output using the production function: q=3L +2K. The wage rate is $10 and the rental rate is $5. Which will be true about the choice of inputs when the firm minimizes costs. Select one:   O a. Cannot be determined given the information.   O b. The firm would use only labor and no capital.   O c. The firm would use equal amounts of labor and capital.   O d. The firm would use only capital and no labor.   O e. The firm would use labor for 3/5 of its input and capital for 2/5 of its input.

A firm's production function is Q = 100L.0 K-4. The firm's input prices are PL = $40 and PK = $30. The firm wishes to produce Q = 3,000 units of output and minimize the cost of production. How much labor (L) should the firm employ? O A. L=20.96. O B. L=31.45. O C. L=34.26. O D. L=38.45. O E. L=41.22. QUESTION 2 A firm estimates its production function as Q = -2.4 + 20*L -.5*L2 + 30*K -1.00*K2 + 15*F -.3*F2. Total cost is TC = $2*L + $2.5*K + $1.75*F. The firm wishes to produce 400 units of output. Use Excel to find the cost minimizing amounts of L, K and F. How much F (Fuel) should the firm use? O A. F=7.90. O B. F=9.58. O C. F=10.75. O D. F=12.63. O E. F=14.88.

A firm has a fixed production cost of $1,000 and a constant marginal cost of production of $700 per unit produced. What is the firm's total cost function? O A. TC = 1,000 + (700q) O B. TC = 1,000 + (700q). OC. TC = 700q. O D. TC = 1,000. The firm's average total cost (ATC) of production is O A. ATC = 1,000 + (700q). OB. 1,000 + (700q) ATC = Oc. 1,000 ATC = O D. ATC = 700q. O E. ATC = 700. If the firm wanted to minimize the average total cost, would it choose to be very large or very small? Explain. OA. very small because the average total cost of production rises with output. O B.- very large because the average variable cost of production falls with output. OC. very small because the average fixed cost of production rises with output. O D. very small because the total cost of production rises with output. O E. very large because the average total cost of production falls with output.

4) Suppose that a firm's production function is Q = Lº.4K0.6. The cost of a unit of labor is $8 and the cost of a unit of capital is $12. Write firm's long run cost function. Calculate the slope of isocost line. Calculate marginal rate of technical substitution. d. Suppose firm decides to produce 50 units, what is the cost minimizing combination of these two resources (labor and capital)? a. b. C.

A company has the following production function for its product, f(k, I) = k"/2/1/2. It faces input prices v = 5 for capital and w = 20 for labor. How much does the firm use of each input if it wants to produce 10 units of its product? O a. I= 4, k = 25 O b. / = 5, k = 20 O c. 1= 20, k = 5 O d. 1= 25, k = 4 Clear my choice Suppose the market demand for a good is Qº = 2000 – 8p and market supply is QS = 5p + 700. There are 10 %3D firms with exactly the same cost function. How much does each firm produce? O a. 100 O b. 120 O c. 140 O d. 200 Clear my choice

K Suppose that a firm's production function is q=5x in the short run, where there are fixed costs of $1,000, and x is the variable input whose cost is $625 per unit. What is the total cost of producing a level of output q? In other words, identify the total cost function C(q). The total cost of producing ya level of output q is A. C(q)= 1,000. OB. OC. OD. OE C(q)= 1,000+ C(q)= 1,000+ C(q) = 1,000+ 625q² C(q)= 25 q² 25 625q² 25 0.5 q B Dollars per unit of output 2000- 1800- 1600- 1400- 1200- 1000- 800- 600 400- 200- a 12 14 10 Quantity nchack 18 (1) Incorrect

Suppose a publisher faces the following costs of producing 10,000 newspapers each month:$5,500 cost of labor; $2,200 monthly mortgage payment; $250 cost of electricity to run theprinting presses; $800 for ink and paper; and $200 in city property taxes (based on the valueof the building and land). Its total variable costs are: Group of answer choices $8,750. $8,950. $6,300. $6,550