A trader realises 10x - x 2 Naira profit from t... - JAMB Mathematics 2018 Question
A trader realises 10x - x\(^2\) Naira profit from the sale of x bags of corn. How many bags will give him the maximum profit?
A
7
B
6
C
5
D
4
correct option: c
Profit (P) = 10\(_x\) − \(_x\)2
At max profit, the differential of profit with respect to number of bags(x) = 0
Hence,\(\frac{dp}{dx}\) = 0
\(\frac{dp}{dx}\) = 10 - 2x = 0
10 = 2x
Then x = \(\frac{10}{2}\) = 5
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