Question

A retail store sells two types of shoes, sneakers and sandals. The store owner pays $8 for the sneakers and $14 for the sandals. The sneakers can be sold for $10 and the sandals can be sold for $17. The owner of the store estimates that she won't sell more than 200 shoes each month, and doesn't plan to invest more that $2,000 on inventory of the shoes. Let x= the number of sneakers in stock, and y=the number of sandals in stock. Write an inequality that represents the possible amount of shoes she can purchase each month. Also, write an inequality that represents how many sneakers and sandals she has in stock each month.

Answer 1

The inequality are 8x + 14y ≤ 2000 and x + y ≤ 200

Explanation:

The sneaker’s cost = $8

Selling price of sneaker = $10

Cost of sandals = $14

Selling price of sandals = $17

Let the sneaker is x and sandals are y. It is given that total spending amount will not exceed $2000. So the inequality is:

8x + 14y ≤ 2000

since it is given that total number of x and y will not exceed 200 so the inequality that shows number of shoes purchased each year is:

x + y ≤ 200