# NIKE

### Nike and Jordan Shoes

By Logan Steenstra

# The Company

At Nike we sell two different types of shoes Nike Lunarglide 6 and Air Jordan 1. We can sell Lunarglide 6 for $140 and Air Jordan 1 for $170. It costs $3 to make Lunarglide 6 and uses 6 sq. in. of material. It costs $12 to make Air Jordan 1 and uses 6 sq. in. of material. We have 24 sq. in. of material to use. We have $10,000 to invest but don't want to spend more than $150 per day. We must make at least How many of each shoe should we make to maximize our profits in one day and how much money would we make.

x= Lunarglide 6

y=Jordan Air 1

Profit= 140 x+170 y

System of Equations: 3x+12y≤150; 6x+6y≤120;

Restrictions: x≥0;y≥0

# Possible Solutions

Lunarglide 6: 0 Air Jordan 1: 20 Profit: $3,400

Lunarglide 6: 0 Air Jordan 1: 12 Profit: $2,040

Lunarglide 6: 10 Air Jordan 1: 10 Profit: $3,100

Lunarglide 6: 20 Air Jordan 1: 0 Profit: $2,800

Lunarglide 6: 50 Air Jordan 1: 0 Profit: $7,000

# The Best Combination

The best combination to make the most profit would be to make 5o Lunarglide 6 and it would make you $7,000. But if you had to make some of both shoe, you would make 10 Lunarglide 6 and 10 Air Jordan 1 and that would make you only $3,100.