2. A BSA Corporation makes three products and has available 4 workstations. The production time (in minutes) per unit produced varies from workstation to workstation (due to different manning levels) as shown below: Workstation Product 2 4 5 6. 13 4 8 9. 10 12 15 17 3 14 Similarly, the contribution per unit varies from workstation to workstation as below: Workstation Product 3 4 10 8. 9 18 20 15 13 17 17 15 16 If one week, there are 35 working hours (2,100 minutes) available at each workstation how much of each product should be produced given that we need at least 100 units of product 1, 150 units of product 2 and 100 units of product 3. Formulate this problem as a linear program. Formulation: 1. Decision Variables: (hint: product i to make at each workstation j) a. 2. Objective Function: a. Maximize z =, 3. Constraints: Limit on the number of minutes available each week for each workstation: a. b. с. d. Lower limit on the total amount of each product produced:
2. A BSA Corporation makes three products and has available 4 workstations. The production time (in minutes) per unit produced varies from workstation to workstation (due to different manning levels) as shown below: Workstation Product 2 4 5 6. 13 4 8 9. 10 12 15 17 3 14 Similarly, the contribution per unit varies from workstation to workstation as below: Workstation Product 3 4 10 8. 9 18 20 15 13 17 17 15 16 If one week, there are 35 working hours (2,100 minutes) available at each workstation how much of each product should be produced given that we need at least 100 units of product 1, 150 units of product 2 and 100 units of product 3. Formulate this problem as a linear program. Formulation: 1. Decision Variables: (hint: product i to make at each workstation j) a. 2. Objective Function: a. Maximize z =, 3. Constraints: Limit on the number of minutes available each week for each workstation: a. b. с. d. Lower limit on the total amount of each product produced:
Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter4: Linear Programming Models
Section: Chapter Questions
Problem 111P
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Pls answer the problem with solutions. Thank you
Transcribed Image Text:2. A BSA Corporation makes three products and has available 4 workstations. The production time
(in minutes) per unit produced varies from workstation to workstation (due to different manning
levels) as shown below:
Workstation
2
3
7
Product
1
4
1
5
4
10
2
3
12
8
15
13
14
9
17
Similarly, the contribution per unit varies from workstation to workstation as below:
Workstation
3
Product
1
4
1
10
8
2
3
18
20
15
17
15
16
13
17
If one week, there are 35 working hours (2,100 minutes) available at each workstation how much
of each product should be produced given that we need at least 100 units of product 1, 150 units
of product 2 and 100 units of product 3. Formulate this problem as a linear program.
Formulation:
1. Decision Variables: (hint: product i to make at each workstation j)
2. Objective Function:
a. Maximize z =,
3. Constraints:
Limit on the number of minutes available each week for each workstation:
a.
b.
с.
d.
Lower limit on the total amount of each product produced:
а.
b.
с.
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