1. A furniture manufacturer produces two types of tables (country and contemporary) using three types of machines. The time (hours) required to produce the tables on each machine is given in the table below. Machine Country contemporary Total hours available per week Router 1.5 Sander 3.0 Polisher 2.5 2.0 4.5 1.5 Country tables sell for GH¢350 and contemporary tables sell for GH 450. Management has determined that at least 20% of the tables made should be country and at least 30% should be contemporary. (a) Define the decision variables for this problem. ) 1000 2000 1500 (b) Formulate a Linear Programming (LP) model for this problem. Your model was solved using the solver and the sensitivity report is provided below.
1. A furniture manufacturer produces two types of tables (country and contemporary) using three types of machines. The time (hours) required to produce the tables on each machine is given in the table below. Machine Country contemporary Total hours available per week Router 1.5 Sander 3.0 Polisher 2.5 2.0 4.5 1.5 Country tables sell for GH¢350 and contemporary tables sell for GH 450. Management has determined that at least 20% of the tables made should be country and at least 30% should be contemporary. (a) Define the decision variables for this problem. ) 1000 2000 1500 (b) Formulate a Linear Programming (LP) model for this problem. Your model was solved using the solver and the sensitivity report is provided below.
Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter2: Introduction To Spreadsheet Modeling
Section: Chapter Questions
Problem 20P: Julie James is opening a lemonade stand. She believes the fixed cost per week of running the stand...
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Question
![1. A furniture manufacturer produces two types of tables
(country and contemporary) using three types of
machines. The time (hours) required to produce the
tables on each machine is given in the table below.
Machine Country contemporary Total hours available per week
Router 1.5
Sander 3.0
Polisher 2.5
2.0
4.5
1.5
1000
2000
1500
Country tables sell for GH¢350 and contemporary tables sell
for GH 450. Management has determined that at least 20% of
the tables made should be country and at least 30% should be
contemporary.
(a) Define the decision variables for this problem.
(b) Formulate a Linear Programming (LP) model for this
problem..
Your model was solved using the solver and the sensitivity
report is provided below.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fab2c6d7e-1ff6-4e33-8040-0822e5d19160%2Fad5b97d9-0279-466c-abdb-ce3e7bf262de%2Feil0f9o_processed.jpeg&w=3840&q=75)
Transcribed Image Text:1. A furniture manufacturer produces two types of tables
(country and contemporary) using three types of
machines. The time (hours) required to produce the
tables on each machine is given in the table below.
Machine Country contemporary Total hours available per week
Router 1.5
Sander 3.0
Polisher 2.5
2.0
4.5
1.5
1000
2000
1500
Country tables sell for GH¢350 and contemporary tables sell
for GH 450. Management has determined that at least 20% of
the tables made should be country and at least 30% should be
contemporary.
(a) Define the decision variables for this problem.
(b) Formulate a Linear Programming (LP) model for this
problem..
Your model was solved using the solver and the sensitivity
report is provided below.
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