A fertilizer producer finds that it can sell its product at a price of p per unit when it produces x units of fertilizer. The total production cost (in dollars) for x units is 300 – 0.1x dollars C(x) = 15000 + 125x + 0.025x?. If the production capacity of the firm is at most 1000 units of fertilizer in a specified time, how many units must be manufactured and sold in that time to maximize the profit? (Hint: profit=price-cost)
A fertilizer producer finds that it can sell its product at a price of p per unit when it produces x units of fertilizer. The total production cost (in dollars) for x units is 300 – 0.1x dollars C(x) = 15000 + 125x + 0.025x?. If the production capacity of the firm is at most 1000 units of fertilizer in a specified time, how many units must be manufactured and sold in that time to maximize the profit? (Hint: profit=price-cost)
Algebra for College Students
10th Edition
ISBN:9781285195780
Author:Jerome E. Kaufmann, Karen L. Schwitters
Publisher:Jerome E. Kaufmann, Karen L. Schwitters
Chapter9: Polynomial And Rational Functions
Section9.4: Graphing Polynomial Functions
Problem 44PS: A company determines that its weekly profit from manufacturing and selling x units of a certain item...
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