Answer
(a) $2700+150x$
(b) $280x$
(c) $130x-2700$
(d) $21$ units. Yes.
Work Step by Step
Identify the given quantities: $C_f=2700, C_v=150, P_i=280$, we have:
(a) the cost function: $C(x)=C_f+C_vx=2700+150x$
(b) the revenue function: $R(x)=P_ix=280x$
(c) the profit function: $P(x)=R-C=130x-2700$
(d) break-even point: $P(x)=0$ gives $x\approx21$ units. With the restriction that no more than 25 units can be sold, the product can be produced to make a profit.
