Question

The average cost c (in dollars) to manufacture x t-shirts is given by the function c=7x+325x. Express the number of t-shirts in terms of the average cost. X=

Answer 1

`x=(325)/(c-7)`

Explanation:

The average cost c (in dollars) to manufacture x t-shirts is given by the function:

`c=(7x+325)/(x)`

We are required to express the number of t-shirts in terms of the average cost.

First, we cross multiply

cx=7x+325

Bring the terms containing x to the left hand side

cx-7x=325

Factorize out x

x(c-7)=325

Divide both sides by c-7

`x=(325)/(c-7)`

Therefore, the number of t-shirts, x in terms of the average cost, c is:

`x=(325)/(c-7)`