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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 500Step-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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