A furniture manufacturer produces two types of tables – country and contemporary – using three types of machines.  The time required to produce the tables on each machine is given in the following table:   Machine Country Contemporary Total Machine Time Available Per Week Router 3.5 4.0 1,000 Sander 4.5 6.5 2,000 Polisher 3.0 2.0 1,500     Country tables sell for $395 and contemporary tables sell for $515.   Management has determined that at least 25% of the tables made should be country and at least 38% should be contemporary.  How many of each type of table should the company manufacture if it wants to maximize its revenue? Formulate an LP model for this problem Create the spreadsheet model and use Solver to solve the problem.

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter4: Linear Programming Models
Section: Chapter Questions
Problem 111P
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Please use excel for this problem

A furniture manufacturer produces two types of tables – country and contemporary – using three types of machines.  The time required to produce the tables on each machine is given in the following table:

 

Machine

Country

Contemporary

Total Machine Time

Available Per Week

Router

3.5

4.0

1,000

Sander

4.5

6.5

2,000

Polisher

3.0

2.0

1,500

 

 

Country tables sell for $395 and contemporary tables sell for $515.   Management has determined that at least 25% of the tables made should be country and at least 38% should be contemporary.  How many of each type of table should the company manufacture if it wants to maximize its revenue?

  1. Formulate an LP model for this problem
  2. Create the spreadsheet model and use Solver to solve the problem.
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9781337406659
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Cengage,