Question

Jim Carburetors rebuilds carburetors for antique car owners. Jim has determined the following models for his monthly revenue and costs associated with rebuilding these carburetors

Answer 1

Given:

The models for revenue and cost:

$\begin{gathered} R(c)\text{ = 55c} \\ C(c)\text{ =2400 + 17c} \end{gathered}$

Graphing both functions on the same calculator screen gives:

Hence, the correct graph is option D.

The break-even point is the point when the profits are equal to the costs.

On the graph, the point is the point of intersection of the lines.

At that point, we have the co-ordinates:

(63.158, 3473.684)

We can conclude that Jim Carburetors must rebuild approximately 63 carburetors to break-even