# Thread: LINEAR PROGRAMING.

1. ## LINEAR PROGRAMING.

A garment company makes two types of woolen sweaters and can produce a max of 700 sweaters per week. Each sweater of the first type requires 2 pounds of green wool and 4 pounds of pink wool to produce a single sweater. The second type of sweater requires 4 pounds of green wool and 3 pounds of pink wool. The profit earned the first type of sweater is $5 and on the second type$7 . The company has 50 ounds of green wool and 80 pound of pink wool.

Write a system of inequalities to represent the number of sweaters of the first type and the number of sweaters of the second type that can be produced.

[ i'm not sure if it's an "advanced" algebra] but i know that this isn't easy for me. PLEASE HELP ME T-T

2. Originally Posted by dreamgirl
A garment company makes two types of woolen sweaters and can produce a max of 700 sweaters per week. Each sweater of the first type requires 2 pounds of green wool and 4 pounds of pink wool to produce a single sweater. The second type of sweater requires 4 pounds of green wool and 3 pounds of pink wool. The profit earned the first type of sweater is $5 and on the second type$7 . The company has 50 ounds of green wool and 80 pound of pink wool.

Write a system of inequalities to represent the number of sweaters of the first type and the number of sweaters of the second type that can be produced.

[ i'm not sure if it's an "advanced" algebra] but i know that this isn't easy for me. PLEASE HELP ME T-T
Hello dreamgirl,

Let x = number of type 1
Let y = number of type 2

1st constraint: $\boxed{x+y\leq 700}$

2nd constraint: $\boxed{2x+4y\leq 50}$ Green wool

3rd constraint: $\boxed{4x+3y\leq 80}$ Pink wool

4th constraint: $\boxed{x\ge 0}$

5th constraint: $\boxed{y\ge 0}$

Profit function: $P(x, y)=5x+7y$