Question: 10. A manufacturer has modeled its yearly production function P (the value of its entire production in millions of dollars) by(,)=1.47*./0*.!0where L is labor hours

10. A manufacturer has modeled its yearly production function P (the value of its entire production in millions of dollars) by(,)=1.47*./0*.!0where L is labor hours (in thousands) and K is investment capital (in millions of dollars). Suppose that when =30 and =8, the labor force is decreasing at a rate of 2,000 labor hours per year and capital is increasing at a rate of $500,000 per year. Find the rate of change of production. (Hint: Watchthe units!)

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