Question: Each of Exercises 61 through 68 involves either the chain rule for partial derivatives or the incremental approximation formula for functions of two variables. At

Each of Exercises 61 through 68 involves either the chain rule for partial derivatives or the incremental approximation formula for functions of two variables.

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 = 120K1/2L1/3 units. Currently capital expenditure is $400,000 (K = 400) and is increasing at the rate of $9,000 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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