Help Thanks 5 The relationship between the number of pencil

Help. Thanks 5

The relationship between the number of pencil sharpeners x a company can sell each week and the price of each sharpener p is given by the equation x = 1600 - 100p At what price should the sharpeners be sold if the weekly revenue is to be $5500?

Solution

weekly revenue = $ 5500

which is equal to number of pencil sharpeners * price of each sharpener = xp

so, xp = 5500

or x = 5500 / p

plugging this value of x into the equation

5500/p = 1600 - 100p

multiplying entire equation by p

5500 = 1600p - 100p^2

or 100p^2 - 1600p + 5500 = 0

solving the quadratic equation

p = $ 5

therefore, sharpener must be sold at $ 5 each for weekly revenue to be $ 5500