Suppose for a company manufacturing flash drives, the cost and revenue equations are given by C= 6,000 + 3x and R = 20x − 0.002x , where the production output in 1 week is x flash drives. a. Find the profit function.  b. Find the marginal profit function  c. If production is increasing at a rate of 500 flash drives per week when production is 2,000 flash drives, find the rate of increase in profit .

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