Linear Programming: Clothier Store

Question

A clothier makes women's suits and coats from nylon and wool. Each suit requires 2 yards of nylon lining and 3 yards of wool. Each coat requires 3 yards of nylon lining and 4 yards of wool. Only 42 yards of nylon lining and 58 yards of wool are in stock. If the clothier makes a profit of $20 on each suit and $40 on each coat, then how many suits and how many coats must be made to make to maximize the profit?

Show variables, your constraints, and the profit equation to graph the maximum profit.

Answer 1

Variables : s suits and c coats

Constraints

Nylon : 2s +3c <= 42

Wool : 3s + 4c <= 58

s >=0

c >= 0

Profit : 20s + 40c