3. During a period, a manufacturer can sell x units of a product at a price p cents per unit, wh

Name: 3. During a period, a manufacturer can sell x units of a product at a price p cents per unit, where p = 100 - 0.2x. The total cost (not the unit cost) of making x units is C cents where C = 4 + 0.1x. (a) What is the profit function, P(x)? (b) What number of units must be made (and sold) to achieve maximum profit?
Uploaded: 2023-11-04T10:03:45-08:00
Duration: 1 min 19 s
Channel: Adi S
Description: 3. During a period, a manufacturer can sell x units of a product at a price p cents per unit, where p = 100 - 0.2x. The total cost (not the unit cost) of making x units is C cents where C = 4 + 0.1x. (a) What is the profit function, P(x)? (b) What number of units must be made (and sold) to achieve maximum profit?

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Maitreya E · Accepted Answer

First, we need to find the revenue function, R(x). Revenue is the product of the price per unit

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