Question

A clothing manufacturer has 1,000 yd. of cotton to make shirts and pajamas. A shirt requires 1 yd. of fabric, and a pair of pajamas requires 2 yd. of fabric. It takes 2 hr. to make a shirt and 3 hr. to make the pajamas, and there are 1,600 hr. available to make the clothing.

i. What are the variables?
ii. What are the constraints?
iii. Write inequalities for the constraints.

Answer 1

Explanation:

solution

variables are

Number of shirts made and number of pajamas made

and

constraints are

fabric in yd and time in hr

and

inequalities for the constraints are

we consider here

no of shirt = x

no of pajama = y

so

x ≥ 0 and y ≥ 0

x +2y ≤ 1000

2x +3y ≤ 1600