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Suppose that for a company manufacturing calculators, the cost, and revenue equations are given by C=90000+30x,R=300x−x240, where the production output in one week is x calculators. If the production output is increasing at a rate of 200 calculators per hour when the production output is 7000 calculators, find each of the following: Rate of change in cost with respect to time Rate of change in revenue with respect to time Rate of change in profit with respect to time
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