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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
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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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?
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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