2. A fertilizer producer finds that it can sell its product at a price of p = 300 -0.1.x dollars per unit when it produces x units of fertilizer. The total production cost (in dollars) for x units is C(x) = 15,000+ 125x +0.025x² 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?
2. A fertilizer producer finds that it can sell its product at a price of p = 300 -0.1.x dollars per unit when it produces x units of fertilizer. The total production cost (in dollars) for x units is C(x) = 15,000+ 125x +0.025x² 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?
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter4: Calculating The Derivative
Section4.CR: Chapter 4 Review
Problem 85CR
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Transcribed Image Text:2. A fertilizer producer finds that it can sell its product at a
price of p = 300 -0.1.x dollars per unit when it produces
x units of fertilizer. The total production cost (in dollars)
for x units is
C(x) = 15,000+ 125x +0.025x²
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?
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