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Homework answers / question archive / 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 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).
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.
