Suppose the cost in dollars of manufacturing q items is given by C = 2000q + 3500,

Question:

Suppose the cost in dollars of manufacturing q items is
given by

C = 2000q + 3500,

and the demand equation is given by

In terms of the demand q,
(a) find an expression for the revenue R;
(b) find an expression for the profit P;
(c) find an expression for the marginal profit.
(d) Determine the value of the marginal profit when the price is $5000.

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