The total-cost function, C(x), and total-revenue function, R(x), for producing x items are shown below, where 0 ≤ x ≤ 300.
C(x) = 6000 + 500x
R(x) = 2800x
a) Find the total-profit function, P(x):
b) Find the number of items, x, for which the total profit is maximum.
a) P(x) =
b) The profit is maximized for a production of units