1) A company that installs air conditioners finds that if it installs x air conditioners per...
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1) A company that installs air conditioners finds that if it installs x air conditioners per week, its costs will be C(x) = 290x - 25,100 and its revenue will be R(x) = -2x² + 410x. Find the number of installations that will maximize profit and find the maximum profit. 2) A manufacturer has a monthly fixed cost of $40,000 and a production cost of $8 for each unit produced. The product sells for $12/unit. Find the profit function and compute the profit corresponding to the production of 100 units. 3) A company must decide between two manufacturing processes for its model C computers. The monthly cost of the first and second process is given by C₁(x) = 5x + 8,000 dollars and C₂(x) = 10x + 4,500 dollars, where x is the number of computers produced. If the projected monthly sales are 350 computers at a unit price of $25, which process should management choose in order to maximize the company's profit? Also decide which process this company should choose if the projected monthly sales are 700 units. 4) Find the break-even points of the following. a) C(x) = 3x + 21,000; R(x) = 9x 1) A company that installs air conditioners finds that if it installs x air conditioners per week, its costs will be C(x) = 290x - 25,100 and its revenue will be R(x) = -2x² + 410x. Find the number of installations that will maximize profit and find the maximum profit. 2) A manufacturer has a monthly fixed cost of $40,000 and a production cost of $8 for each unit produced. The product sells for $12/unit. Find the profit function and compute the profit corresponding to the production of 100 units. 3) A company must decide between two manufacturing processes for its model C computers. The monthly cost of the first and second process is given by C₁(x) = 5x + 8,000 dollars and C₂(x) = 10x + 4,500 dollars, where x is the number of computers produced. If the projected monthly sales are 350 computers at a unit price of $25, which process should management choose in order to maximize the company's profit? Also decide which process this company should choose if the projected monthly sales are 700 units. 4) Find the break-even points of the following. a) C(x) = 3x + 21,000; R(x) = 9x
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Managing Operations Across The Supply Chain
ISBN: 9781260547634
4th Edition
Authors: Morgan Swink, Steven Melnyk, Janet L. Hartley, M. Bixby Cooper
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