Answer
(a) $400x+1650$
(b) $305x$
(c) $-95x-1650$
(d) should not be produce, it is impossible to make a profit.
Work Step by Step
Identify the given quantities: $C_f=1650, C_v=400, P_i=305$, we have:
(a) the cost function: $C(x)=C_f+C_vx=1650+400x=400x+1650$
(b) the revenue function: $R(x)=P_ix=305x$
(c) the profit function: $P(x)=R(x)-C(x)=305x-(400x+1650)=-95x-1650$
(d) As $R(x)\lt C(x)$ for all positive $x$, the product should not be produced. It is impossible to make a profit.
