Please define the decision variables, define the objection function & define the constraints

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter4: Linear Programming Models
Section4.8: Data Envelopment Analysis (dea)
Problem 43P
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Please define the decision variables, define the objection function & define the constraints 

 

A company manufactures four different types of tables. In the final part of the
imanufacturing process assembly, Inspection and packing operations are performed.
For each type the time required for these operations is as follows (in minutes) as is
the profit per unit sold.
Table Type
Dinner
Office
Assembly
Inspection
Packaging
Profit ($)
2.
2.
150
4
2
3
250
School
Lab
3
2.
300
7
4
450
Based on the number of employees they have estimated that they have 100,000
minutes of assembly time, 50,000 minutes of Inspection time and 60,000 minutes of
packing time available. Model the information, in order to calculate how many of
each type of table should the company make per year and what is the associated
profit? (Simply model the information into a linear programming problem- you do
not have to solve the problem)
Transcribed Image Text:A company manufactures four different types of tables. In the final part of the imanufacturing process assembly, Inspection and packing operations are performed. For each type the time required for these operations is as follows (in minutes) as is the profit per unit sold. Table Type Dinner Office Assembly Inspection Packaging Profit ($) 2. 2. 150 4 2 3 250 School Lab 3 2. 300 7 4 450 Based on the number of employees they have estimated that they have 100,000 minutes of assembly time, 50,000 minutes of Inspection time and 60,000 minutes of packing time available. Model the information, in order to calculate how many of each type of table should the company make per year and what is the associated profit? (Simply model the information into a linear programming problem- you do not have to solve the problem)
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