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- Suppose pigs (P) can be fed corn-based feed (C) or soybean-based feed (S) such that the production function is P = 20 + 55. If the price of corn feed is $4 and the price of soybean feed is $5, what is the costminimizing feed combination producing P = 200?2. Trapper Joe, the fur trader, has found that his production function in acquiring pelts is given by q = 2pH where q =the number of pelts acquired in a day, and H =the number of hours Joeís employees spend hunting and trapping in one day. Joe pays his employees $8 an hour. a) Calculate Joeís total and average cost curves (as a function of q). b) What is Joeís total cost for the day if he acquires four pelts? Six pelts? Eight pelts? What is Joeís average cost per pelt for the day if he acquires four pelts? Six pelts? Eight pelts? c) Graph the cost curves from part a and indicate the points from part b.Would a cost function of 0 mean a linear line of supply curve? For example if 10 firms are on the market selling 10 goods and the cost function is 0?
- 3. A firm’s production function is q = 8K.25L.75 MPL = 6 K.25L-.25 MPK = 2 K-.75L.75 a. Determine the short-run cost function b. Derive the long-run cost functionNoneA firm has the following production function:q = ƒ (z1, z2) = z1αz2βa. Solve for the firm's cost minimization problem using the Lagrangean method. Verify using the Varian Method.b. Solve for the firm's conditional demand function (simplify) c. Derive the firm's cost function (simplify)
- a= min[x,y]^(1/2) a)Draw isoquants for a = 1, a = 4 and a = 9. b)What kind of returns to scale does the production function have? c)The price of x is p_x = 1 and of y p_y = 2. Calculate the cost function. d)Rent is $ 400, calculate average and marginal costs.1. Suppose that the production function for a firm is given by the CES function q = f (z1, z2) = (z + z)/Y. Where z1 and z2 are the two inputs used by the firm. The inputs prices are respectively wi and w2 a. Set up the cost minimizing problem of the firm and derive the first order conditions for cost minimization b. Derive the conditional inputs demand functions for inputs 1 and 2 c. Derive the associated cost function for the firmSuppose that cost function is C(Q) = mQ 2 + nQ + p. Find the point thataverage cost function A(Q) has a minimum point.
- Catalina Films produces video shorts using digital editing equipment (K) and editors (L). The firm has the production function Q(K, L)=KxL, where Q is the hours of edited footage. The wage is $25, and the rental rate of capital is $50. The firm wants to produce 3,000 units of output at the lowest possible cost. a) Find the marginal product of each input. b) Determine whether the production function exhibits diminishing marginal product to each input. c) Find the marginal rate of technical substitution (MRTSLK) d) How does MRTSLK change as more L, is used holding output constant. e) Find the least costly combination of labour and capital to produce 3000 units.A firm's production function is q = 26x^0.33y^0.67, where x and y are the amounts of factors x and y that the firm uses as inputs. If the firm is minimizing unit costs and if the price of factor x is 6 times the price of factor y, the ratio in which the firm will use factors x and y is closest to. A. x/y = 0.08 B. x/y = 0.25 C. x/y = 0.5 D. x/y = 2.4Please find the atttached photo.