Solving a Related Rates Word Problem About Profit

A company that manufactures and sells high-end calculators has a weekly revenue equation given by \(R=-0.01x^2+400x\) dollars, where \(x\) is the number of calculators sold each week and a weekly cost equation given by \(C=100x+10,000\) dollars, where \(x\) is the number of calculators produced each week. If the number of calculators produced and sold is continuing to increase at a rate of 200 calculators per week, find the rate of change of profit with respect to time when 6000 calculators are produced and sold each week. Interpret your answer.

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