Gallery Problems Exercise

Running a Clothing Store

Work Time

Running a Clothing Store

You are the manager of a local clothing store. The owner of the store has been able to buy a number of high-quality items at good prices. He wants to sell the clothes in the store at discounted prices with the goal of making the greatest possible profit.

The owner bought:

  • 40 pairs of jeans for $40 a pair
  • 50 T-shirts at $10 each
  • 30 sweatshirts at $25 each
  • 150 baseball caps at $2 each

The items are labeled with the suggested retail prices, seen in the chart here.

The owner provides you with four discount labels:
20% off, 25% off, 40% off, and 50% off.

  1. Assuming that the owner will be able to sell all the clothes, determine which discount label to use for each item for the store to make the greatest profit.
  2. Assuming that the owner will be able to sell all the clothes, what is the greatest profit he can make?
  3. Describe a situation that involves a percent increase of more than 100%.