The cost( in dollars ) to a certain hospital for a particular medical test is C(n)=15,000+60n , where n is the number of tests given

Accounting Dec 08, 2020

The cost( in dollars ) to a certain hospital for a particular medical test is C(n)=15,000+60n , where n is the number of tests given. The average cost per test, denoted by ?C(n), is found by dividing C(n) by n. Find and interpret limn→∞?C(n).

Expert Solution

Let's begin by finding the average cost function. We can do this by dividing the cost function given to us by n.

?C(n)=C(n)n=15000+60nn=15000n+60

Let's now find the limit as n approaches infinity.

limn→∞?C(n)=limn→∞(15000n+60)=0+60=60

Thus, the average cost per test approaches $60.

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