54. The C & F Company manufactures cameras and rolls of film. The constraints on C & F's weekly production are shown on the coordinate plane below. The shaded region contains the feasible combinations of the number of cameras and the number of rolls of film produced in 1 week. Each vertex of the shaded region has integer coordinates (in thousands). The company makes a profit of $3 per camera sold and $1 per roll of film sold. Within the given constraints, what is the greatest possible profit, in dollars, from 1 week of C & F's production?
Your Answer is
Correct Answer is J
Explanation
The combination with the maximum benefit should be at a certain vertex. Try the benefits that can be generated at each vertex, and find that the rightmost vertex (four cameras plus two rolls) has a maximum benefit of $14,000. Choose J.