Math, asked by jradebe, 6 months ago

Nancy sells cookies at the bus stop every day of the week before she goes to work. Her monthly profit (in rand) of selling x cookies is given by the function P(x) = 50√x − 0,5x − 75. The number of cookies that she must sell per month in order to maximise her profit, is

Answers

Answered by boomsaha578
0

Answer:

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Step-by-step explanation:

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Answered by PoojaBurra
2

Given:

Number of cookies = x

Profit function P(x) = 50√x-0.5x-75

To find:

The number of cookies that she must sell per month to get maximum profit

Calculation:

To get maximum profits, the derivative of profit function should be equal to zero i.e.,

=>  dP(x)/dx = 0

     d[50√x-0.5x-75] = 0

     [(1/2)×50/√x] - 0.5 =0

     25/√x = 0.5

     √x = 50

     x = 2500

She must sell 2500 cookies per month in order to maximise her profit

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