A furniture manufaci using three types of machines. The time required to produce the tables on each machine is given in the following table: Total Machine Time Available Per Week 1,000 2,000 1,500 Machine Country Contemporary Router 3.5 4.0 Sander 4.5 6.5 Polisher 3.0 2.0 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 colve the problem

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter2: Introduction To Spreadsheet Modeling
Section: Chapter Questions
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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
Total Machine Time
Available Per Week
1,000
2,000
1,500
Contemporary
Router
3.5
4.0
Sander
4.5
6.5
Polisher
3.0
2.0
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.
Transcribed Image Text: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 Total Machine Time Available Per Week 1,000 2,000 1,500 Contemporary Router 3.5 4.0 Sander 4.5 6.5 Polisher 3.0 2.0 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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