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Ans:
To find critical values, we have:
gives critical values:
NA.
Second order condition:
6 Q - 10 > 0 for Q > 0
This shows TC is convex.
Consider COst function: TC Q-S oO Margina cost critical Vaiue is: Q + SOC=
2. Consider the total cost function TC = TC(Q), where Q is output. Show that average total cost, ATG, reaches its minimum point where MC ATC.
1 Economies of Scale Consider the total cost function (TC): TC(q) = 100+ 40 + 492 where q is output. 1.1 (10 points) Obtain the index of the extent of scale economies S = MCQ, where AC is average cost and MC is marginal cost. What is the value of this index when q = 2? Provide an intuitive interpretation for this number. 1.2 (10 points) Is there any range of production characterized by scale economies? At what production level...
Consider a firm that has cost function of: TC = 24 + 10Q + 1.5 Q^2 a) Draw the average cost and marginal cost curves for this firm (label with equation). b) Draw the supply curve of this firm c) What are the profits of the firm if the price of output is $44?
Consider the following cost function: TC(Q)=(2Q^3)-(4Q^2)+6Q+3. What is the total variable cost function? What are the total fixed costs? What is the average variable cost function? What is the average fixed cost function? What is the average total cost function? What is the marginal cost function? For what level of output is average variable cost a minimum? What is the relationship between average and marginal cost?
Given the total cost function for a firm is Q = output and TC = total cost Q TC 0 20 1 40 2 60 3 80 4 100 5 120 6 140 the production function that generated these costs must have increasing marginal product of the variable input (labor) TURE OR FLASE
Given the total cost function for a firm is (Q = output and TC = total cost) Q TC 0 0 1 20 2 39 3 56 4 71 5 84 6 95 the average total cost of producing six units of output is $15.83 True OR Flase
Question 4 Consider the following cost function: TC-3Q+Q+9. Further assume that the firm is a price taker (in other words price does not depend on quantity). A. Calculate the marginal, average total, and the average variable costs of production B. At what quantity are average costs minimized?
Q: Suppose a firm's total cost function is TC = 16 + 5Q + 4Q2 . What is the output level that minimizes average total cost?
Question 4 Consider the Sunshine Company, a perfectly competitive firm with the following cost function TC 12006Q + 202 where Q is the firm's output per day. a) Find the firm's marginal cost function. [2 marks] C b) If the price of Sunshine's product equals $66, how many units per day should the firm produce? [4 marks] c) Find the firm's average variable cost function. [3 marks] d) Is average variable cost at the quantity you calculated in part b)...
consider the R and TC functions TẾ (0) = 400 - 30 TC (Q) = 14 Q +225 • What is the optimal quantity Qt that maximizes profit! @ The optimal profit at this point is! 7 © The profit function must b Locommander anderen vaniwan at may must be a greater than, equal to, OSS Than) zero,