A surfboard manufacturing company has an annual operating cost C (in dollars)of $C = 130 x + 325,800$ where x is the number of surfboards produced in a year. What is the maximum number of surfboards that can be produced while maintaining annual operating costs of no more than $500,000 ?
A) 1340
B) 3900
C) 3750
D) 1320
E) 3800

Question

A surfboard manufacturing company has an annual operating cost C (in dollars)of $C = 130 x + 325,800$ where x is the number of surfboards produced in a year. What is the maximum number of surfboards that can be produced while maintaining annual operating costs of no more than $500,000  ?
A) 1340
B) 3900
C) 3750
D) 1320
E) 3800

Quizplus · Accepted Answer

The maximum number of surfboards that can be produced while maintaining annual operating costs of no more than $500,000 is found by solving the inequality 130x + 325,800 ≤ 500,000. Subtracting 325,800 from both sides gives 130x ≤ 174,200, and dividing both sides by 130 gives x ≤ 1340. Therefore, the maximum number of surfboards that can be produced is 1340.

A Surfboard Manufacturing Company Has an Annual Operating Cost C C=130x+325,800C = 130 x + 325,800C=130x+325,800

A Surfboard Manufacturing Company Has an Annual Operating Cost C $C = 130 x + 325,800$