For the next four questions, suppose a music publisher in medieval England pays $100 to prepare a plate for printing music. After the plate is prepared, the publisher can make as many copies of the music as she wants for $2 per copy. Give an equation for the publisher's total cost function, where q is the number of copies. Select one: O a. TC = 100 + q O b. TC = 100 + 2q O c. TC = 102q O d. TC= 2q Give an equation for the publisher's AVC function. Select one: O a. AVC = 1 O b. AVC = 2q O c. AVC = 2 O d. AVC = 102 Give an equation for the publisher's ATC function. Select one: O a. ATC =2 O b. ATC = (100 / q) + 1 O c. ATC = 102 O d. ATC = (100 / q) + 2For the next seven questions, assume a firm's production function is q = L-5 + K. . The cost of labor is fixed at w = 1 and the cost of capital is fixed at r = 8. Suppose that capital is fixed at K = 9 in the short-run. Find the short-run cost function. Select one: O a. Cost = q2 - 6q + 72 O b. Cost = q2 + 6q+81 O c. Cost = q2 - 6q - 81 O d. Cost = q2 - 6q + 81 Find the marginal cost function. Select one: O a. MC = 2q +6 O b. MC =q - 6 O c. MC = q2 - 6q O d. MC=2q - 6 Does the firm's production process exhibit diminishing marginal returns in the short-run? Select one: O a. Yes O b. NoFind the long-run cost function. Select one: O a. LRC = (8q2 /9) O b. LRC =(9q2 / 8) O c. LRC = (8q / 9) O d. LRC =(9q/ 8) Assume a firm's production function is q = L0.5 + K.5 . The cost of labor is fixed at w = 1 and the cost of capital is fixed at r = 8. Find the long-run average cost function. Select one: O a. LRAC = (9 / 8) O b. LRAC = (8 / 9) O c. LRAC = (9q / 8) O d. LRAC = (8q / 9) What scale properties does this cost function display? Select one: O a. diseconomies of scale O b. economies of scale O c. no economies of scale