Question

At one time the production of American manufacturing was estimated to be P=2.39L0.76K0.24P=2.39 L^{0.76} K^{0.24}. Find P(2500, 450).

Solution

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At one time the production of American manufacturing was estimated is

P=2.39L0.76K0.24P = 2.39L^{0.76} * K^{0.24}

To find P(2500,450) where (L=2500)(L=2500) and (K=450)(K=450)

P(2500,450)=2.3925000.764500.24=2.39382.32654.3328=3959.1623 \begin{align*} P(2500,450) &= 2.39*2500^{0.76} * 450^{0.24} \\ &=2.39*382.3265*4.3328 \\ &= \fbox{\color{#c34632}{3959.1623 }} \end{align*}

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