Help with number 11 please 
he criti ms) at which the type of worker hired changes? of output to their two plants? ppose that the production function for Hannah 13.A Suppose that Dan's Pizza Company in Worked-Out Sam's home remodeling business is Q = F(L, K) Problem 8.6 (page 271) instead has an avoidable fixed OL0.20.3. If the wage rate is $1,500 per week and cost of $720 per day. What is his efficient scale of cost of renting a unit of capital is $1,000 per week, production? What is his minimum average cost? at is the least-cost input combination for remodeling square feet each week? What is the total cost? 14.B (Calculus version below.) Suppose Alpha Corporation's daily cost function is C(Q) = (100,000 X Q) - 500Q2 opose that Hannah and Sam have the same + 203. Its marginal cost is MC = 100,000 - 1000Q duction function as in Worked-Out Problem 8.2: + 602. What is its efficient scale of production? What F(L, K) = 10L 0.5 Ko.5. The wage rate is $1,000 week and a unit of capital costs $250 per week. is its minimum average cost? at is their least-cost input combination if they need 15.A Suppose that in Worked-Out Problem 8.4 (page 261), the emodel 200 square feet per week? What is their cost function at plant 2 was C2(22) = 650@2 + 2(@2)2, al cost? and marginal cost at that plant was MC2 = 650 + 402. pose that Hannah and Sam's production function, What would be the best assignment of output between e rate, and price of capital are the same as in the two plants? blem 5. What is their cost function? 16.B (Calculus version below.) Noah and Naomi want to pose that Hannah and Sam have the same produce 100 garden benches per week in two production duction function as in Worked-Out Problem 8.2: plants. The cost functions at the two plants are F(L, K) = 101 0.5 Ko.5. The wage rate is $1,000 per CI(21) = 60021 - 3(Q1) and C2(22) = 650Q2 - 2(Q2)2, k and a unit of capital costs $4,000 per week. Graph and the corresponding marginal costs are output expansion path. What is their cost function? MC1 = 600 - 60, and MC2 = 650 - 402. What is the culus version below.) A firm has a monthly best assignment of output between the two plants? luction function Q = F(L, K) = L + V1 + K, 17.B Consider again Worked-Out Problem 8.6 (page 271) re L is hours of labor per month and K is square but assume that Hannah and Sam are initially of manufacturing space. The marginal product remodeling 200 square feet per week. What are their bor is MP_ = 1, while the marginal product of short-run and long-run cost functions if capital is al is MPK = 1/2 V1 + K . fixed in the short run, but variable in the long run? if the hourly wage is $50 and manufacturing space 18.B Consider again Worked-Out Problem 8.6 (page 271) costs $25 per square foot per month, what is the but assume that a unit of capital costs $1,000 per week irm's least-cost input combination for producing and that Hannah and Sam are initially remodeling 00 units? 200 square feet per week. What are their short-run and Graph its output expansion path. long-run cost functions if capital is fixed in the short What is its cost function? run, but variable in the long run? ose that XYZ Corporation's total wages are twice 19.B Suppose that Hannah and Sam have the Cobb- ompany's total expenditure on capital. XYZ has a Douglas production function Q = F(L, K) = -Douglas production function Q = F(L. K) = LaKB 10/0.25 K0.25. Both a worker and a unit of capital as constant returns to scale. What can you deduce cost $1,000 per week. If Hannah and Sam begin by of this getion function? remodeling 100 square feet per week, and if their capital is fixed in the short run but variable in the
