Glueco produces three types of glue on two different production lines. Each line can be utilized by up to seven workers at a time. Workers are paid $500 per week on production line 1, and $900 per week on production line 2. A week of production costs $1,000 to set up production line 1 and $2,000 to set up production line 2. During a week on a production line, each worker produces the number of units of glue shown in Table 12. Each week, at least 120 units of glue 1, at least 150 units of glue 2, and at least 200 units of glue 3 must be produced. Formulate an IP to minimize the total cost of meeting weekly demands.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter1: Fundamental Concepts Of Algebra
Section1.4: Fractional Expressions
Problem 66E
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Glueco produces three types of glue on two different
production lines. Each line can be utilized by up to seven
workers at a time. Workers are paid $500 per week on
production line 1, and $900 per week on production line 2.
A week of production costs $1,000 to set up production line
1 and $2,000 to set up production line 2. During a week on
a production line, each worker produces the number of units
of glue shown in Table 12. Each week, at least 120 units of
glue 1, at least 150 units of glue 2, and at least 200 units of
glue 3 must be produced. Formulate an IP to minimize the
total cost of meeting weekly demands.

 

TABLE 12
Glue
Production Line
1
2
3
1
20
30
40
50
35
45
2.
Transcribed Image Text:TABLE 12 Glue Production Line 1 2 3 1 20 30 40 50 35 45 2.
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