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Math · Calculus
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[15 points] The marketing department of Telecom Corporation has determined that the demand for their cordless phones obeys the relationship p--0.04x +2000 with O sxS 50,000, where p denotes the phones unit price (in dollars) and x denotes the quantity demanded. The total cost of producingx units is given by C(x) 0.000002x-0.02x2 1000x 120000 a) Find the revenue function R(x) b) Find the (net) profit function P(x). c) Find the marginal revenues function. d) Find the marginal profit function. e) Estimate the profit if the unit produced changes from a current 20,000 to 21000. f) Estimate the change in revenues if the unit produced changes from 30,000 to 32,000.

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