5, (20 points) Consider the following cost function: c(q:F)-F +109 + 뚤, where F > 0...
5. Consider the following cost function: c(q; F) = F + 10q + q2 , where2 F > 0 represents the fixed cost: F = c(0; F). (a) Compute the marginal cost function, MC(q) = c0(q; F). (b) Show that the marginal cost function MC(q) is increasing. (c) Recall the average cost function, AC(q; F) = c(q;F) . Find qˉ(F),q the value of q (given F) at which AC(q; F) = MC(q).
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)
Question 01. Consider the cost function C = 5,000 + 50. Q, where C denotes the total cost, and Q denotes the quantity produced. A. Complete the following table: (Hint: MC = AC/AQ) Quantity | Cost Fixed Cost Total Cost Average | Marginal Total Cost Cost 10 20 50 100 1000 B. Using the above table, plot average total cost and marginal cost. Cost Quantity C. Explain how you know that this firm has increasing returns to scale.
2. (54 points) Short-run costs. Suppose w 1, r 10 and K 20. C )q3 +200 a) (5 points) We have TC = WG) q3 + rK = On one graph (with q on the horizontal axis), graph the Total Cost, Variable Cost, and Fixed Cost functions. Pay attention to the shape of the curves, where they intercept the axes and each other (if they do), and the position of the curves relative to each other b) (9 points) Using...
Question 3.(12 points). Suppose a firm has a short-run cost function: C(q) = 1000 + 2009 - 5q2 + 0.573. What are the fixed cost (F), the variable cost function (VC), the marginal cost (MC), the average cost (AC), the average fixed cost (AFC) and the average variable cost (AVC)?
2. Find an expression for the MC function given the following average cost functions (a) AC 20 5+30/Q (b) AC 302-4Q+6+100/Q In each case 1) state the value of fixed cost and variable cost, and 2) calculate the value of marginal cost when Q 50
A firm’s short run cost function is C(q)=150q-4q^2+0.4q^3+275 . Determine the fixed cost, F; the average variable cost, AVC; Average Fixed Cost, AFC; Average Cost, AC; and the Marginal Cost, MC.
6. Suppose you are given the average cost function, AC=2Q+5+ 30/Q. Using calculus, determine the marginal cost associated with this function. Determine the value of the firm's marginal cost when Q=50. Graph the MC function with MC on the vertical axis and Q on the horizontal.
ASAP 6. Suppose you are given the average cost function, AC=2Q+5+ 30/Q. Using calculus, determine the marginal cost associated with this function. Determine the value of the firm's marginal cost when Q=50. Graph the MC function with MC on the vertical axis and Q on the horizontal.
The (total) cost function is given by C = 50 + 60Q – 18Q2 + 2Q3 e. Write down the average variable cost function AVC(Q). (1) f. Write down the average total cost function AC(Q). (1) g. Find the break-even point (Q and AC). (1) h. Find the shut-down point (Q and AVC). (1) i. Draw a graph to illustrate AC, AVC, and MC functions for quantities Q on the interval between 1 and 10. Make sure you show (put...