3/4 Find the cost function if the marginal cost function is given by C'()x3+8 and 16...
2/3 Find the cost function if the marginal cost function is given by C'(x)=x + 3 and 27 units cost $284. C(x)=0
Next Question Find the cost function if the marginal cost function is given by C'(x)=x2 +5 and 9 units cost $123. C(x) =
Derive the cost function associated with the production function
in questions 2 is C(q) = 4 + 2q and in questions 3 is
C=wL+rK=1*8+2*4=16. The cost function is of the general form C(Q) =
xQ. What is the value of x?
2. The inverse market demand function is given by P()-20 q. Would consumers prefer to face a monopolist in this market with a cost function given by C(g)4+ 2q, or a perfectly competitive firm with a cost function given...
Suppose the cost function of a firm is given by c(y) = y 3 + 16 for y > 0 and c(0) = 0. (a) Derive the Marginal Cost and Average Total Cost functions. (b) Find is the lowest price at which the firm will produce a positive quantity. (c) Derive the firm’s supply function y(p). (d) Draw the firm’s Average Total Cost and Marginal Cost curves. On your graph, determine the firm’s supply curve. Your graph should have output...
3. Suppose that the cost function of q is given by: C (q) = 16 + 4q + q^2 (a) Find the fixed and variable cost. (b) Find the average cost and marginal cost. 1 (c) Draw the relationship between MC and AC. Prove that they always intersect at the minimum. (Hint: compute the derivative of AC with respect to q and set it equal to zero. Then use this equation to show that MC=AC)
7. Use information from the derivatives of f(x) to help you gra Find all local maximums and minimums. f(x)x3-9x2 +80 80 50 30 201 10 -6 30 8. For the given cost function Cox)-2-100x+10.000, find: a) The cost of production level 10 b) The marginal cost function? c) The marginal cost at production level 10 d) The production level that will minimize the cost Math 148 Business Calculus Page 3
7. Use information from the derivatives of f(x) to help...
2. Suppose the same firm's cost function is Cliq) = 4 = 1 +16.ece +16. Tore=8 = -1 a. Find variable cost, fixed cost, average cost, average variable cost, and average fixed cost. (Hint: Marginal cost is given by MC = 8q.) b. Show the average cost, marginal cost, and average variable cost curves on a graph c. Find the output that minimizes average cost d. At what range of prices will the firm produce a positive output? e. At...
Find the marginal average cost function if
cost and revenue are given by C(x)=158+3.6x and R(x)=4x−0.03x2.
The marginal average cost function is C′(x)= nothing.
Find the marginal average cost function if cost and revenue are given by C(x) = 158 + 3.6x and R(x) = 4x – 0.03x2. The marginal average cost function is '(x) = D.
Find the marginal cost function. C(x) = 177 +1.4x The marginal cost function is c'(x)=-
need help with 5 and 6
Suppose a perfectly competitive firm's cost function is C(q)-4q*+16. Marginal cost for the firm is given by MC=8q. 1) Find equations for variable cost, fixed cost, average total cost, average variable cost and average fixed cost for this firm. Illustrate on a graph the firm's average variable cost curve, average total cost curve, and marginal cost curve. 2) Find the outputs that minimize average total cost, average variable cost and average fixed cost. 3)...