CPM Homework Banner

Acme office furniture is selling computer chairs for each, and they are looking for ways to increase sales revenue. They have found that companies have bought an average of chairs per order, so they decide to offer a lower price on larger orders. They are considering the following plan: the cost will be per chair for or fewer chairs, but for each chair over , they will give a discount of per chair on the entire order. What is the maximum amount that any customer would have to pay for an order of chairs under this plan?

  1. There is no maximum amount.

Only consider orders chairs.
The cost of the chairs before the discount is for chairs.
The discount for chairs is .
The discount on chairs is .
The discount on chairs is .
The discount amount is .

Write an equation for the total cost, including the discount.
Then maximize the equation.
Remember,  number of chairs and the problem asks for the cost.