Find the rate of increase in revenue when production is, Mathematics

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Find the rate of increase in revenue when production is

A manufacturer of precision digital switches has daily cost C and revenue R functions of C(x) = 10,000 + 5x and R(x) = 7x -x²/2000 respectively, where x is the daily production of switches. Production is increasing at the rate of 80 switches per day when production is 1000 switches.

Find the rate of increase in cost when production is 1000 switches per day. dollars/day

Find the rate of increase in revenue when production is 1000 switches per day. dollars/day

Find the rate of increase in profit when production is 1000 switches per day. dollars/day

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