A local print shop is trying to select the low-cost color printer among two alternatives. Alternative A costs $49,000 and $.14 per page. Alternative B costs $61,000 and $.09 per page. At what volume will the total costs for the two alternatives be the same?
A) 12,000
B) 240,000
C) 677,778
D) 350,000
E) 110,000

Question

Quizplus · Accepted Answer

To find the volume where the total costs of the two alternatives are the same, we set up an equation where the total cost of Alternative A equals the total cost of Alternative B. Let $x$ be the number of pages printed. The total cost for Alternative A is $49000 + 0.14x$, and for Alternative B, it's $61000 + 0.09x$. Setting these equal to each other: $49000 + 0.14x = 61000 + 0.09x$. Solving for $x$ gives us $x = 240,000$.

A Local Print Shop Is Trying to Select the Low-Cost