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The profit function of a company is given by $P(x)=40-36 x-18 x^2$. The maximum profit that the company can make is: |
58 72 50 29 |
58 |
The correct answer is Option (1) → 58 $P(x)=40+36x-18x^2$ $\frac{dP}{dx}=36-36x$ $36-36x=0 \Rightarrow x=1$ $\frac{d^2P}{dx^2}=-36<0 \Rightarrow \text{maximum}$ $P(1)=40+36-18=58$ The maximum profit is $58$. |
