Marginal Profit for Producing Loudspeakers Acrosonic's production department estimates that the total cost (in dollars) incurred in manufacturing x ElectroStat speaker systems in the first year of production will be represented by the following function, where R(x) is the revenue function in dollars and x denotes the quantity demanded. Find the following functions (in dollars) and compute the values (in dollars). C(x) = 110x + 36,000 and R(x) = −0.04x^2 + 800x
(a)
Find the profit function P.
P(x) =

(b)
Find the marginal profit function P '.
P '(x) =

(c)
Compute the following values.
P '(3,700) =
P '(9,200) =