Suppose a firm has the following total cost function:
TC = 300 + 40 Q – 8Q2 + (2/3) Q3
(a) Write an equation for (i) average fixed cost; and (ii) average variable cost
(b) What will be the value of average (total) cost when Q = 60?
(c) What will be the marginal cost, when Q = 20?
(d) For this firm what will be the value of average variable cost at its minimum
Suppose a firm has the following total cost function: TC = 300 + 40 Q –...
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
1. A firm has a total cost function TC(y) 10y 5y+ 40. a) What is the firm's marginal cost of producing 100 units of output? b) What is the average variable cost of producing 100 units of output? c) At what level of output is average total cost at a minimum?
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?
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...
(15 pts) A firm has the following relationship between output (Q) and total cost (TC): Q TC 0 $ 100 1 120 2 160 3 220 4 300 5 400 6 520 7 660 8 820 9 1000 10 1200 What is average total cost at Q = 2? What is average variable cost at Q = 7? What is marginal cost at Q = 7? Is the firm operating under increasing or diminishing returns at Q = 7? Why?
Suppose that each firm in a competitive industry has the following costs:Total Cost: TC=50+1/2 q2Marginal Cost: MC=qwhere q is an individual firm's quantity produced.The market demand curve for this product is:Demand QD=160-4 Pwhere P is the price and Q is the total quantity of the good.Each firm's fixed cost is $_______ What is each firm's variable cost?1/2 q50+1/2 q1/2 q^{2}qWhich of the following represents the equation for each firm's average total cost?50/q+1/2 q50+1/2 q50/q1/2 qComplete the following table by computing the...
A firm has the following short run total costs, where TC is total cost and Q is output: Q TC 0 $ 100 1 $ 120 2 160 3 210 4 290 5 390 6 510 7 650 8 810 (a) What is total fixed cost equal to? (b) What is total variable cost equal to at Q = 2? (c) What is average total cost equal to at Q = 5? (d) What is marginal cost equal to at...
Suppose total cost of a particular firm is given by TC=Q3-60Q2+910Q+150; marginal cost is MC=3Q2-120Q+910: Find expressions for total fixed cost, total variable cost, average total cost, and average variable cost. At what output level is average variable cost minimized?
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?
Suppose that each firm in a competitive industry has the following costs: Total Cost: TC= 50+1/2 q^2 Marginal Cost: MC= q where qq is an individual firm's quantity produced. The market demand curve for this product is Demand QD=160−4PQD=160−4P where PP is the price and QQ is the total quantity of the good. Each firm's fixed cost is $_____ What is each firm's variable cost? q 50+1/2 q 1/2q 1/2q^2 Which of the following represents the equation for each firm's...