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At a certain factory, when the capital expenditure is K thousand dollars and L worker-hours of labor are employed, the daily output will be Q=120*K^(-0.5)*L^(1/3)
At a certain factory, when the capital expenditure is K thousand dollars and L worker-hours of labor are employed, the daily output will be Q=120*K^(-0.5)*L^(1/3) units. Currently capital expenditure is 400,000 dollars (K=400) and is increasing at the rate of 9,000 dollars per day, while 1,000 worker-hours are being employed and labor is being decreased at the rate of 4 worker-hours per day. At what rate is production currently changing? Is it increasing or decreasing?
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