Given:
The number of ribbons it can sell each week, x, is related to the price p per ribbon by the equation:
To find:
The selling price if the company wants the weekly revenue to be $1,600.
Solution:
We know that the revenue is the product of quantity and price.
We need to find the value of p when the value of R is $1600.
Divide both sides by 100.
Splitting the middle term, we get
Using zero product property, we get
or
or
Therefore, the smaller value of p is $2 and the larger value of p is $8.