Problem Sets in Linear Programming - Formulation, Graphical Solution, and Simplex Method 1. The Reddy Mikks Co. owns a small paint factory that produces both interior and exterior house paints for wholesale distribution. Two basic raw materials, A and B, are used to manufacture the paints. The maximum availability of A is 24 tons a day; that of B is 6 tons a day. The daily requirements of the raw materials per ton of interior and exterior paints are summarized in the following table: (10 points) Tons of Raw Material per Ton of Paint Exterior Interior Max. Availability Raw Material A 6 4 24 Raw Material B 1 A market survey has established that the daily demand for interior paint cannot exceed that of the exterior paint by more than 1 ton. The survey also shows that the maximum demand for interior paint is limited to 2 tons daily. The wholesale price per ton is $5000 for exterior paint and $4000 for interior paint. How many tons of interior and exterior paints should the company produce daily to maximize gross income? Formulate as a linear program completely. Do not solve.
Problem Sets in Linear Programming - Formulation, Graphical Solution, and Simplex Method 1. The Reddy Mikks Co. owns a small paint factory that produces both interior and exterior house paints for wholesale distribution. Two basic raw materials, A and B, are used to manufacture the paints. The maximum availability of A is 24 tons a day; that of B is 6 tons a day. The daily requirements of the raw materials per ton of interior and exterior paints are summarized in the following table: (10 points) Tons of Raw Material per Ton of Paint Exterior Interior Max. Availability Raw Material A 6 4 24 Raw Material B 1 A market survey has established that the daily demand for interior paint cannot exceed that of the exterior paint by more than 1 ton. The survey also shows that the maximum demand for interior paint is limited to 2 tons daily. The wholesale price per ton is $5000 for exterior paint and $4000 for interior paint. How many tons of interior and exterior paints should the company produce daily to maximize gross income? Formulate as a linear program completely. Do not solve.
Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter5: Network Models
Section: Chapter Questions
Problem 67P
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Transcribed Image Text:Problem Sets in Linear Programming - Formulation, Graphical Solution, and
Simplex Method
1. The Reddy Mikks Co. owns a small paint factory that produces both interior and
exterior house paints for wholesale distribution. Two basic raw materials, A and B, are
used to manufacture the paints. The maximum availability of A is 24 tons a day; that of B
is 6 tons a day. The daily requirements of the raw materials per ton of interior and
exterior paints are summarized in the following table: (10 points)
Tons of Raw Material per Ton of Paint
Exterior
Interior
Max. Availability
Raw Material A
6
4
24
Raw Material B
1
A market survey has established that the daily demand for interior paint cannot exceed
that of the exterior paint by more than 1 ton. The survey also shows that the maximum
demand for interior paint is limited to 2 tons daily. The wholesale price per ton is $5000
for exterior paint and $4000 for interior paint.
How many tons of interior and exterior paints should the company produce daily to
maximize gross income? Formulate as a linear program completely. Do not solve.
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