A fertilizer producer finds that it can sell its product at a price of p = 300 – 0.1r dollarsper unit when it produces r units of fertilizer. The total production cost (in dollars) forT units isC(r) = 15000 – 125r +0.025a?.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?(Hint: profit=price-cost)

Name: A fertilizer producer finds that it can sell its product at a price o
Uploaded: 2024-03-20T07:07:26.000Z
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Description: A fertilizer producer finds that it can sell its product at a price of p = 300 – 0.1r dollarsper unit when it produces r units of fertilizer. The total production cost (in dollars) forT units isC(r) = 15000 – 125r +0.025a?.If the production capacity

It is given that, total cost for x units, C(x)=15000-125x+0.025x2 price per unit is, p(x)=300-0.1x…

Math

Calculus

A fertilizer producer finds that it can sell its product at a price of p 300– 0.1r dollars per unit when it produces r units of fertilizer. The total production cost (in dollars) for r units is C(1) = 15000 – 125r +0.025z2. 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? (Hint: profit=price-cost)