Suppose we produce x1 AA batteries by process P1 and x2 by process P2, furthermore x3 A batteries by process P3 and x4 by process P4. Let the profit for 100 batteries be $10 for AA and $20 for A. Maximize the total profit subject to the constraints 12x1 + 8x2 + 6x3 + 4x4 <= 120 (material) 3x1 + 6x2 + 12x3 +24x4 <= 180 (labor)
Suppose we produce x1 AA batteries by process P1 and x2 by process P2, furthermore x3 A batteries by process P3 and x4 by process P4. Let the profit for 100 batteries be $10 for AA and $20 for A. Maximize the total profit subject to the constraints 12x1 + 8x2 + 6x3 + 4x4 <= 120 (material) 3x1 + 6x2 + 12x3 +24x4 <= 180 (labor)
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter2: Systems Of Linear Equations
Section2.4: Applications
Problem 24EQ: Suppose the coal and steel industries form a closed economy. Every $1 produced by the coal industry...
Related questions
Question
Suppose we produce x1 AA batteries by process P1 and x2 by process P2, furthermore x3 A batteries by process P3 and x4 by process P4. Let the profit for 100 batteries be $10 for AA and $20 for A. Maximize the total profit subject to the constraints
12x1 + 8x2 + 6x3 + 4x4 <= 120 (material)
3x1 + 6x2 + 12x3 +24x4 <= 180 (labor)
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 2 steps
Recommended textbooks for you
Linear Algebra: A Modern Introduction
Algebra
ISBN:
9781285463247
Author:
David Poole
Publisher:
Cengage Learning
Algebra for College Students
Algebra
ISBN:
9781285195780
Author:
Jerome E. Kaufmann, Karen L. Schwitters
Publisher:
Cengage Learning
College Algebra
Algebra
ISBN:
9781305115545
Author:
James Stewart, Lothar Redlin, Saleem Watson
Publisher:
Cengage Learning
Linear Algebra: A Modern Introduction
Algebra
ISBN:
9781285463247
Author:
David Poole
Publisher:
Cengage Learning
Algebra for College Students
Algebra
ISBN:
9781285195780
Author:
Jerome E. Kaufmann, Karen L. Schwitters
Publisher:
Cengage Learning
College Algebra
Algebra
ISBN:
9781305115545
Author:
James Stewart, Lothar Redlin, Saleem Watson
Publisher:
Cengage Learning
Algebra and Trigonometry (MindTap Course List)
Algebra
ISBN:
9781305071742
Author:
James Stewart, Lothar Redlin, Saleem Watson
Publisher:
Cengage Learning
College Algebra (MindTap Course List)
Algebra
ISBN:
9781305652231
Author:
R. David Gustafson, Jeff Hughes
Publisher:
Cengage Learning
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill