Question

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 + 27,000    and    R(x) = −0.04x² + 800x

(a)Find the profit function P.

(b)Find the marginal profit function P '.

(c)Compute the following values.

-P '(3,600)

-P '(9,300)

Answer 1