Suppose that the cost function of a firm is C(Q) = 490 + 10Q^2 . (a) Provide the mathematical expressions for AFC, AVC, AC and MC. (b) Graph all the costs above as a function of Q. (c) What is true about the relation between the marginal cost and the average costs when the latter are at their minimum? And when the average cost are increasing (decreasing)? Explain.
Suppose that the cost function of a firm is C(Q) = 490 + 10Q^2 . (a)...
3) Suppose the cost curve for a firm producing sneakers is TC 1010 q - 4q- + 3.1 (10 points) What are the firm's fixed costs, variable costs, average costs, average fixed cost, average variable costs, and marginal costs? 3.2 (10 points) Graph all 7 cost functions (TC, VC, FC, AC, AVC, AFC, MC) for quantities q 0 to q 10. You can use the Excel program to generate these graphs, plot C, VC, and FC in one graph and...
A firm uses labor (L) and capital (K) as inputs, and has a short run cost function C=15+ 10q+ q2. Capital is fixed at K̅ a. Give the formula for the firm's marginal cost function. Any method of deriving the marginal cost function is acceptable. (Hint: When calculating MC, you can assume that increases by a very, very small amount, so that q2 = q1 + ε ≈ q and q1 + q2 ≈ 2q.) b. Give the formula for the firm's...
Consider a competitive firm with total costs given by TC(q) = 100 + 10q + q 2 The firm faces a market price p = 50. (a) Write expressions for total revenue TR and marginal revenue MR as functions of output q. (b) Write expressions for average total cost ATC, average variable cost AVC, and marginal cost MC as functions of output q. (c) For what value of output is ATC minimized?
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).
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)?
Consider a competitive rm with total costs given by TC(q) = 100 + 10q + q^2, The firm faces a market price p = 50. (a) Write expressions for total revenue TR and marginal revenue MR as functions of output q. (b) Write expressions for average total cost ATC, average variable cost AVC, and marginal cost MC as functions of output q. (c) For what value of output is ATC minimized? (d) Find the profit maximizing level of output q...
In class we considered TC(q) = q^2 + 4. AFC(q) is always decreasing, and AVC(q) is always increasing. Thus, two forces affect average cost: AC(q) = AVC(q) + AFC(q). Is it true that AVC(q) = AFC(q) at the minimum of AC(q) (the two "balance each other")? either prove the result for an arbitrary TC(q) function, or find a counterexample.
In class we considered TC(q) = q^2 + 4. AFC(q) is always decreasing, and AVC(q) is always increasing. Thus, two forces affect average cost: AC(q) = AVC(q) + AFC(q). Is it true that AVC(q) = AFC(q) at the minimum of AC(q) (the two "balance each other")? either prove the result for an arbitrary TC(q) function, or find a counterexample.
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.
Consider the cost function C(Q) = 60Q – 12Q2 + Q3. a. Sketch the total cost, the total variable cost, and the fixed cost for 0-12 units of output. b. Find expressions for the ATC, AVC, AFC, and MC curves, and sketch the curves on a single graph, making sure the curves are correctly related to each other. At what output level does ATC reaches its minimum? c. What can you say about the shape of the marginal product of...