Question

Break even

A large hardware store’s monthly profit from the sale of PVC pipe can be described by the equation P(x)= 6.45x- 9675 dollars, where x is the number of feet of PVC pipe sold. What level of monthly sales is necessary to avoid a loss?

Answer 1

Where the value 6.45x exceeds 9675
The value is 9675/6.45
=1500
So, 1500 PVC pipes must be sold

Answer 2

Minimum sales of PVC pipes should be 1500.

Explanation:

Monthly profit from the sale of PVC pipe can be described as P(x) = 6.45x - 9675

Here x = number of PVC pipes sold.

To avoid the loss means there is no profit but with no loss.

So by putting p(x) = 0

0 = 6.45x - 9675

6.45x = 9675

x =
`(9675)/(6.45)`

= 1500

Therefore,to avoid the loss minimum number of pipes sold should be 1500.