A fertilizer producer finds that it can sell its product at a price of p = 3000 – 0.6x dollars per unit when it produces x units of fertilizer. The total production cost (in dollars) for xunits is C(x) = 90,000 + 750x + 0.150x². 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. eTextbook and Media Hint Assistance Used Create a function, R(x), that models the revenue from producing x units of fertilizer. The profit can then be expressed as P(x) = R(x) – C(x).

Mathematics For Machine Technology
8th Edition
ISBN:9781337798310
Author:Peterson, John.
Publisher:Peterson, John.
Chapter44: Solution Of Equations By The Subtraction, Addition, And Division Principles Of Equality
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A fertilizer producer finds that it can sell its product at a price of
p = 3000 – 0.6x dollars per unit when it produces x units of
fertilizer. The total production cost (in dollars) for xunits is
C(x) = 90,000 + 750x + 0.150x².
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.
eTextbook and Media
Hint
Assistance Used
Create a function, R(x), that models the revenue from
producing x units of fertilizer. The profit can then be expressed
as P(x) = R(x) – C(x).
Transcribed Image Text:A fertilizer producer finds that it can sell its product at a price of p = 3000 – 0.6x dollars per unit when it produces x units of fertilizer. The total production cost (in dollars) for xunits is C(x) = 90,000 + 750x + 0.150x². 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. eTextbook and Media Hint Assistance Used Create a function, R(x), that models the revenue from producing x units of fertilizer. The profit can then be expressed as P(x) = R(x) – C(x).
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