A fertilizer producer finds that it can sell its product at a price of p = 1000 – 0.2x dollars per unit when it produces x units of fertilizer. The total production cost (in dollars) for xunits is C(x) = 30,000 + 250x + 0.050x². 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? Selling i units maximizes profit.
A fertilizer producer finds that it can sell its product at a price of p = 1000 – 0.2x dollars per unit when it produces x units of fertilizer. The total production cost (in dollars) for xunits is C(x) = 30,000 + 250x + 0.050x². 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? Selling i units maximizes profit.
Algebra for College Students
10th Edition
ISBN:9781285195780
Author:Jerome E. Kaufmann, Karen L. Schwitters
Publisher:Jerome E. Kaufmann, Karen L. Schwitters
Chapter8: Functions
Section8.CR: Review Problem Set
Problem 50CR
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A fertilizer producer finds that it can sell its product at a price of p = 1000 – 0.2x dollars per unit when it produces x units of fertilizer. The total production cost (in dollars) for xunits is C(x) = 30,000 + 250x + 0.050x². 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? Selling i units maximizes profit.
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