ENGR.ECONOMIC ANALYSIS
14th Edition
ISBN: 9780190931919
Author: NEWNAN
Publisher: Oxford University Press
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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_forwardSuppose that the Acme Gumball Company has a fixed proportions production function that requires it to use two gumball presses and one worker to produce 1,000 gumballs per hour. a. Explain why the cost per hour of producing 1,000 gumballs is 2v + w (where v is the hourly rent for gumball presses and w is the hourly wage). b. Assume Acme can produce any number of gumballs they want using this technology. Explain why the cost function in this case would be TC = q(2v +w), where q is output of gumballs per hour, measured in thousands of gumballs. c. What is the average and marginal cost of gumball production (again, measure output in thousands of gumballs)? (show the complete formula) Draw the graph for the average and marginal cost curves for gumballs assuming v=3, w-5 (show working) Now draw the graph for these curves for v=6, w=5.( show working) Explain why these curves have shifted.arrow_forwardSuppose the imaginary company of Panthera is a small, Raleigh-based American apparel manufacturer specializing in athleisure. The following table presents the brand's total cost of production at several different quantities. Fill in the remaining cells of the following table. Quantity Total Cost (Pairs) (Dollars) Marginal Cost (Dollars) Fixed Cost Variable Cost (Dollars) (Dollars) Average Variable Cost (Dollars per pair) Average Total Cost (Dollars per pair) 0 120 1 210 2 270 3 315 4 380 475 6 630arrow_forward
- Suppose the imaginary company of Panthera is a small, Reno-based American apparel manufacturer specializing in athleisure. The following table presents the brand's total cost of production at several different quantities. Fill in the remaining cells of the following table. Quantity Total Cost Marginal Cost Fixed Cost Variable Cost (Pairs) (Dollars) (Dollars) о 120 1 210 2 270 3 315 4 380 5 475 6 630 (Dollars) (Dollars) Average Variable Cost (Dollars per pair) Average Total Cost (Dollars per pair) On the following graph, plot Douglas Fur's average total cost (ATC) curve using the green points (triangle symbol). Next, plot its average variable cost (AVC) curve using the purple points (diamond symbol). Finally, plot its marginal cost (MC) curve using the orange points (square symbol). (Hint: For ATC and AVC, plot the points on the integer; for example, the ATC of producing one pair of boots is $210, so you should start your ATC curve by placing a green point at (1, 210). For MC, plot the…arrow_forward6. Firm's Costs 2 Consider the following cost information for a pizzeria: Quantity Total Cost Variable Cost (Dozens of pizzas) (Dollars) (Dollars) 280 1 320 40 2 350 70 3 380 100 4 420 140 470 190 6 530 250 The pizzeria's fixed cost is Complete the third column of the following table by calculating the marginal cost per dozen pizzas using the information on total cost. Then complete the final column by calculating the marginal cost per dozen pizzas using the information on variable cost. Quantity Total Cost Marginal Cost Variable Cost Marginal Cost Using Total Cost (Dollars) Using Variable Cost (Dollars) (Dozens of pizzas) (Dollars) (Dollars) 280 320 40 350 70 AAarrow_forwardLet F be the fixed cost of production, let VC be the variable cost of production, C be the total cost, MC be the marginal cost, AFC, the average fixed cost, AVC, the average variable cost, and AC, the average cost. Complete the following cost table. (Enter numeric responses rounded to two decimal places.) Output (q) 1 2 3 4 5 6 7 8 9 10 F $250 250 250 250 250 250 250 250 250 с MC AFC AVC AC $266 $16 $250.00 $16.00 $266.00 12 125.00 14.00 139.00 8 83.33 12.00 4 62.50 10.00 72.50 298 50.00 59.60 8 310 12 41.67 10.00 51.67 76 326 35.71 10.86 46.57 96 346 20 12.00 43.25 41.11 27.78 13.33 120 370 24 148 28 25.00 14.80 VC $16 28 278 36 286 40 48arrow_forward
- discussion should be no less than 75 words. In doing so, be certain to address each of the components from the topic. The most desirable output quantity for the firm clearly depends on how costs change as output varies. First, discuss the three types of cost curves economists use to display and analyze this information. Then, discuss the marginal product relationship. Lastly, give one example of how costs change as output varies for the firm from a recent news articlearrow_forwardUse the cost table below to find the following marginal costs. Output quantity Total variable Total fixed Total cost cost cost 20 80 60 140 40 140 60 200 60 210 60 270 80 300 60 360 100 420 60 480 120 600 60 660 140 840 60 900 What is the marginal cost when output is 20? $ What is the marginal cost when output is 80? $ What is the marginal cost when output is 120? $ |arrow_forwardConsider the following cost function. a. Find the average cost and marginal cost functions. C(x) = 1700 + 0.4x, 1700 +0.4. a. The average cost function is C(x) = The marginal cost function is C'(x) = 0.4|.arrow_forward
- Suppose Nittany Bakery rents a building for $120 per day, and they can hire workers for $75 per day. The short run labor and output (quantity of scones) information is listed below. Fill in the columns for total cost and marginal cost. (Note: You may need to make columns for fixed cost (FC) and variable cost (VC) on a piece of scrap paper, which will make it easier to find total cost (TC).) Do not enter any dollar signs, and if necessary, round to two decimal places. Short Run Labor, Output, and Costs Labor (L) Output (Q) Total Cost (TC) Marginal Cost (MC) 00 -- 14 212 3 24 440 5 60 675 7 84arrow_forwardIke’s Bikes is a major manufacturer of bicycles. Currently, the company produces bikes using only one factory. However, it is considering expanding production to two or even three factories. The following table shows the company’s short-run average total cost (SRATC) each month for various levels of production if it uses one, two, or three factories. (Note: Q equals the total quantity of bikes produced by all factories.) Number of Factories Average Total Cost (Dollars per bike) Q = 100 Q = 200 Q = 300 Q = 400 Q = 500 Q = 600 1 360 200 160 240 400 720 2 540 300 160 160 300 540 3 720 400 240 160 200 360 Suppose Ike’s Bikes is currently producing 600 bikes per month in its only factory. Its short-run average total cost is per bike. Suppose Ike’s Bikes is expecting to produce 600 bikes per month for several years. In this case, in the long run, it would choose to produce bikes usingone factory . On the following graph, plot…arrow_forwardConsider the following total cost (TC) curve: 20 $/Q1 15 10. 5 5 MC 10 1 15 TC In the two graphs below, please (carefully) draw the marginal cost (MC) and the average variable cost (AVC) curves corresponding to the TC curve. Please identify the coordinates of the point on each curve at Q=3 (three) and Q = 15 (fifteen). That is, what is MC and AVC at Q=3 and = 15? Still, in other words, identify the coordinates of two points on each of the two curves. Output AVCarrow_forward
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