A supermall produces two kinds of clothing: Clothing A and Clothing B. For materials, the supermall has 2250 sq. meter of cotton fabric and 1200 sq. meter of polyester fabric. To produce Clothing A, it requires 6 sq. meters of cotton fabric and 4 sq. meters of polyester fabric. On the other hand, Clothing B's production requires 3 sq. meters of cotton and 1 sq. meter of polyester fabric. If Clothing A can be sold for $200 per set and Clothing B can be sold for $150 per set, what is the number of Clothing A and Clothing B that the supermall must produce to obtain a maximum sales? Use linear programming method.

Algebra for College Students
10th Edition
ISBN:9781285195780
Author:Jerome E. Kaufmann, Karen L. Schwitters
Publisher:Jerome E. Kaufmann, Karen L. Schwitters
Chapter12: Algebra Of Matrices
Section12.CR: Review Problem Set
Problem 37CR
icon
Related questions
icon
Concept explainers
Topic Video
Question

A supermall produces two kinds of clothing: Clothing A and Clothing B. For materials, the supermall has 2250 sq. meter of cotton fabric and 1200 sq. meter of polyester fabric. To produce Clothing A, it requires 6 sq. meters of cotton fabric and 4 sq. meters of polyester fabric. On the other hand, Clothing B's production requires 3 sq. meters of cotton and 1 sq. meter of polyester fabric. If Clothing A can be sold for $200 per set and Clothing B can be sold for $150 per set, what is the number of Clothing A and Clothing B that the supermall must produce to obtain a maximum sales? Use linear programming method.

Expert Solution
steps

Step by step

Solved in 2 steps with 2 images

Blurred answer
Knowledge Booster
Application of Algebra
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, algebra and related others by exploring similar questions and additional content below.
Recommended textbooks for you
Algebra for College Students
Algebra for College Students
Algebra
ISBN:
9781285195780
Author:
Jerome E. Kaufmann, Karen L. Schwitters
Publisher:
Cengage Learning
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
Glencoe Algebra 1, Student Edition, 9780079039897…
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill
College Algebra
College Algebra
Algebra
ISBN:
9781337282291
Author:
Ron Larson
Publisher:
Cengage Learning
Algebra: Structure And Method, Book 1
Algebra: Structure And Method, Book 1
Algebra
ISBN:
9780395977224
Author:
Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:
McDougal Littell
College Algebra
College Algebra
Algebra
ISBN:
9781938168383
Author:
Jay Abramson
Publisher:
OpenStax