ENGR.ECONOMIC ANALYSIS
14th Edition
ISBN: 9780190931919
Author: NEWNAN
Publisher: Oxford University Press
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An economist estimated that the cost function of a single-product firm is:
C(Q) = 100 + 20Q + 15Q2 + 10Q3
[NOTE à MC(Q) = 20+30Q+30Q2]
Based on this information, determine:
- The fixed cost of producing 10 units of output
- The variable cost of producing 10 units of output
- The total cost of producing 10 units of output
- The average fixed cost of producing 10 units of output
- The
average variable cost of producing 10 units of output - The
average total cost of producing 10 units of output - The marginal cost when Q = 10
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- Craig and Javad run a paper company. Each week they need to produce 1,000 reams of paper to ship to their customers. The paper plant's longrun production function is Q = 4KL, where Q is the number of reams produced, K is the quantity of capital rented, and L is the quantity of labor hired. The weekly cost function for the paper plant is C = 20K + 4L, where C is the total weekly cost. (a) What ratio of capital to labor minimizes Craig and Javad's total costs? (b) How much capital and labor will Craig and Javad need to rent and hire in order to produce 1,000 reams of paper each week? (c) How much will hiring these inputs cost them?arrow_forwardConsider the following cost function: 3 C=0.2q³-6q² + 80q + 150. (Enter a numeric response using a real number rounded to two decimal places.) When output is 19 units, average cost is $ When output is 19 units, marginal cost is $ The output level where average variable cost equals marginal cost is units.arrow_forwardConsider the following short run cost function: TC = 4Q³ - 24Q² + 16Q + 100 Derive the expressions for marginal cost and average total cost. What can we infer about the range of output over which production shows increasing returns to labor and diminishing returns to labor?arrow_forward
- Question 6: For each of the total cost functions, write the expressions for the average cost, average fixed cost, average variable cost, and marginal cost: 1. TC (Q) = 5Q 2. TC (Q) = 120 +6Q 3. TC (Q) = 6Q² 4. TC (Q) = 140 +5Q²arrow_forwardIf average variable cost is $20 and total fixed cost is $500 at 10 units of output, then average total cost at this output level is:arrow_forwardGiven the total cost equation: TC = 144 +2Q+Q² what is the average cost when the firm produces at the level of Q that yields the minimum average cost?arrow_forward
- Note: Enter your answer withtout the dollar sign ($) For the cost function TC= 520 + 10Q + 5Q2, determine the average fixed cost of producing 5 units of output.arrow_forwardConsider a company that has fixed costs of $6,700 and a marginal cost of $26 per item. What is the company's average cost function? How many items must the company produce to have an average cost of $36.31 per item?arrow_forwardThe following equation represents the cost structure of a firm: C= 10 + 3q. The average cost of production isarrow_forward
- The long-run cost function for a firm in the personal computer business is: C(q) = 8q² + 7200, for q> 0. What is the average cost function AC (g)? AC (q) = 16q AC (q) = 8q+ 7200 9 AC (q) = 16q+ AC (g) 16q+7200 AC(q) = 8q+7200 = 7200 9 The long-run cost function for a firm in the personal computer business is: C(q) = 8q² + 7200. for q> 0. What is the marginal cost function MC (q)? MC(q) = 8q+7200 MC(q) = 8q MC (g) MC (q) = 16q MC (q) = 16q+ 16q+72000 7200 The long-run cost function for a firm in the personal computer business is: C(q) = 8q²+7200, for q> 0. At what level of output does average cost equal marginal cost? The level of output at which average cost and marginal cost are equal is type your answer... -01arrow_forwardAn economist estimated that the cost function of a single-product firm isC(Q) = 100 + 20Q + 15 Q^2 + 10 Q^3Based on this information, determine:b. The variable cost of producing 10 units of output.arrow_forwardAt an output level of 100 units a firm has average total costs of $80 and average variable costs of $50. Its total fixed costs are:arrow_forward
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