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.

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