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 [1] 2 500. [2] 1 175. [3] 750. [4] 0.
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Answer:
[1] 2 500
Step-by-step explanation:
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
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