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A manufacturer of power supplies estimates that it will incur a total cost of C ( q ) = 2300 + 2 q + 0.006

A manufacturer of power supplies estimates that it will incur a total cost of C(q) =2300+2q+0.006q2 dollars when producingqpower supplies, and it will collect

R(q) =16q0.003q2 dollars in revenue.

(a) What is a function for the profitPthe manufacturer can expect after producingqpower supplies.

P(q) =

(b) Find the marginal cost and marginal revenue functions.

marginal cost =

marginal revenue =

(c) How many power supplies should the manufacturer produce in order to maximize profit?

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