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?
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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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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