A manufacturer of power supplies estimates that it will incur a total cost of

C(q) =2400+4q+0.006q²

dollars when producingqpower supplies, and it will collect

R(q) =17q0.001q²

dollars in revenue.

(a) Write 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?

power supplies