Question

he cost of manufacturing a particular videotape is ​C(x)9000​9x, where x is the number of tapes produced. The average cost per​ tape, denoted by ​, is found by dividing by x. Find .

Answer 1

The average cost per​ tape is 10.

Explanation:

The cost of manufacturing a particular videotape is :

C(x) = 9000+9x

Where

x is the number of tapes produced.

We need to find the value of average per tape i.e.
`\lim_(x \to 9000) \bar C(x)`

`\bar C(x)=(9000+9x)/(x)\\\\=(9000)/(x)+9\\\\ \lim_(n \to 9000) \bar C(x)=(9000)/(9000)+9\\\\=1+9\\\\=10`

So, the average cost per​ tape is 10.