Mr. Omar-doh sells sheep during the annual county auction. He wishes to use linear programming to describe his problem and therefore consults the UoN for assistance. Sheep come in three sizes: large, medium, and small. The large sheep (x.) cost Kshs. 3,500 and sell for Kshs.6,000 each; the medium sheep (x.) cost Kshs.3,000 and sell for Kshs.5,000 each; the small sheep (x.) cost Kshs. 1,500 and sell for Kshs.2,500 each. Omar-doh must order at least twenty sheep of each type. He can spend no more than Kshs.0.3 million on sheep investment. His space limitations are such that he cannot exceed 60 units of the large and medium sheep combined. He wants to obtain a gross revenue of at least half a million from selling sheep. He further wants to maximize his profits subject to all the constraints above.
Mr. Omar-doh sells sheep during the annual county auction. He wishes to use linear programming to describe his problem and therefore consults the UoN for assistance. Sheep come in three sizes: large, medium, and small. The large sheep (x.) cost Kshs. 3,500 and sell for Kshs.6,000 each; the medium sheep (x.) cost Kshs.3,000 and sell for Kshs.5,000 each; the small sheep (x.) cost Kshs. 1,500 and sell for Kshs.2,500 each. Omar-doh must order at least twenty sheep of each type. He can spend no more than Kshs.0.3 million on sheep investment. His space limitations are such that he cannot exceed 60 units of the large and medium sheep combined. He wants to obtain a gross revenue of at least half a million from selling sheep. He further wants to maximize his profits subject to all the constraints above.
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter2: Systems Of Linear Equations
Section2.4: Applications
Problem 16EQ
Related questions
Topic Video
Question
using the below attached question;
a)Would profit be maximized if the objective function y=50xL+40xM+20xs was assumed (under the same contraints) for the same problem?
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by step
Solved in 3 steps with 3 images
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, advanced-math and related others by exploring similar questions and additional content below.Recommended textbooks for you
Linear Algebra: A Modern Introduction
Algebra
ISBN:
9781285463247
Author:
David Poole
Publisher:
Cengage Learning
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
Algebra and Trigonometry (MindTap Course List)
Algebra
ISBN:
9781305071742
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 & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
Algebra and Trigonometry (MindTap Course List)
Algebra
ISBN:
9781305071742
Author:
James Stewart, Lothar Redlin, Saleem Watson
Publisher:
Cengage Learning
College Algebra
Algebra
ISBN:
9781305115545
Author:
James Stewart, Lothar Redlin, Saleem Watson
Publisher:
Cengage Learning