Nike manufactures three types of shoes on two different production lines. Each line can be utilized by up to seven workers at a time. Workers are paid $550 per week on production line 1, and $800 per week on production line 2. A week of production costs $1,000 to set up production line 1, and $2,200 to set up production line 2. During a week on a production line, each worker produces the number of units of shoes shown in the table below. Each week, at least 120 units of type 1 shoes, at least 150 units of type 2 shoes, and at least 200 units of type 3 shoes much be produced. Formulate an IP to minimize the total cost of meeting weekly demands. Shoes Production Line 1 2 1 20 30 40 2 50 35 45
Nike manufactures three types of shoes on two different production lines. Each line can be utilized by up to seven workers at a time. Workers are paid $550 per week on production line 1, and $800 per week on production line 2. A week of production costs $1,000 to set up production line 1, and $2,200 to set up production line 2. During a week on a production line, each worker produces the number of units of shoes shown in the table below. Each week, at least 120 units of type 1 shoes, at least 150 units of type 2 shoes, and at least 200 units of type 3 shoes much be produced. Formulate an IP to minimize the total cost of meeting weekly demands. Shoes Production Line 1 2 1 20 30 40 2 50 35 45
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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Transcribed Image Text:Nike manufactures three types of shoes on two different production lines. Each line can be
utilized by up to seven workers at a time. Workers are paid $550 per week on production line 1,
and $800 per week on production line 2. A week of production costs $1,000 to set up production
line 1, and $2,200 to set up production line 2. During a week on a production line, each worker
produces the number of units of shoes shown in the table below. Each week, at least 120 units of
type 1 shoes, at least 150 units of type 2 shoes, and at least 200 units of type 3 shoes much be
produced. Formulate an IP to minimize the total cost of meeting weekly demands.
Shoes
Production Line
1
2
1
20
30
40
2
50
35
45
Expert Solution
Step 1
Let, A and B are the production line and
X,Y,Z are three types of shoes (typw1, type2, type3)
[AX is worker hired on Line A for shoe type x similarly for AY,AZ and BX,BY and BZ]
Objective function minimize cost
Step by step
Solved in 2 steps with 1 images
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