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OpenStudy (luigi0210):
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OpenStudy (luigi0210):
The manager of a company determines that when \(q\) hundred units of a particular commodity are produced, the total cost of production is \(C\) thousand dollars, where \(C^2-3q^3=4,275\). When 1500 units are being produced, the level of production is increasing at the rate of 20 units per week. What is the total cost at this time and at what rate is it changing?
OpenStudy (turingtest):
solve this equation for cost and take the derivative, then plug in the given values for q, dq/dt
OpenStudy (turingtest):
you can get the cost when 1500 untis are produced straight away without the derivative
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