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1. A clothing company has 500 yards of cotton to make shirts and pants. A shirt requires 1 yard of fabric and a pair of pants requires 2 yards of fabric. It takes two hours to make one shirt and three hours to make one pair of pants, and they have 1000 hours to make the clothing. a. Write a system of inequalities to represent the problem. b. Graph the inequalities and shade the solution set.

1. A clothing company has 500 yards of cotton to make shirts and pants. A shirt requires 1 yard of fabric and a pair of pants requires 2 yards of fabric. It takes two hours to make one shirt and three hours to make one pair of pants, and they have 1000 hours to make the clothing. a. Write a system of inequalities to represent the problem. b. Graph the inequalities and shade the solution set.

Algebra and Trigonometry (6th Edition)
Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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1. A clothing company has 500 yards of cotton to make shirts and pants. A shirt requires 1 yard of fabric and a pair of pants requires 2 yards of fabric. It takes two hours to make one shirt and three hours to make one pair of pants, and they have 1000 hours to make the clothing. a. Write a system of inequalities to represent the problem. b. Graph the inequalities and shade the solution set. 2. Allan can work a maximum of 40 hours a week. He needs to make $440 to cover his expenses. His office job pays $12 an hour and his online selling job pays $10 an hour. a. Write a system of inequalities to represent the problem. b. Graph the inequalities and shade the solution set.
Transcribed Image Text:1. A clothing company has 500 yards of cotton to make shirts and pants. A shirt requires 1 yard of fabric and a pair of pants requires 2 yards of fabric. It takes two hours to make one shirt and three hours to make one pair of pants, and they have 1000 hours to make the clothing. a. Write a system of inequalities to represent the problem. b. Graph the inequalities and shade the solution set. 2. Allan can work a maximum of 40 hours a week. He needs to make $440 to cover his expenses. His office job pays $12 an hour and his online selling job pays $10 an hour. a. Write a system of inequalities to represent the problem. b. Graph the inequalities and shade the solution set.
c. What is the least possible number of hours he can work at his office job and still meet the requirements?
Transcribed Image Text:c. What is the least possible number of hours he can work at his office job and still meet the requirements?
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