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. (a) Formulate the appropriate linear programming program (LPP) for Mr. Omar-doh

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
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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.
(a) Formulate the appropriate linear programming program (LPP) for Mr. Omar-doh
Transcribed Image Text: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. (a) Formulate the appropriate linear programming program (LPP) for Mr. Omar-doh
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