2. Four products are processed sequentially on three machines in an aircraft maintenance workshop. The following Table 1 gives the operational data of the problem. Machine 1 2 3 Unit selling price ($) Table 1: Operational data for the problem Cost per hr Product $ 1 2 3 7 75 10 5 4 Manufacturing time (hr) per unit Product Product Product 2 3 4 3 2 2 2 3 1 70 45 4 1 2 55 Capacity (hr) 500 380 450 (a) Formulate the problem as a Linear Programming (LP) problem (b) Determine the optimal product-mix in the production schedule and the optimal profit

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter2: Introduction To Spreadsheet Modeling
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2. Four products are processed sequentially on three machines in an aircraft maintenance
workshop. The following Table 1 gives the operational data of the problem.
Machine
1
2
3
Unit selling price ($)
Table 1: Operational data for the problem
Manufacturing time (hr) per unit
Cost per hr Product Product Product Product
$
1
3
4
10
2
4
2
5
1
2
4
2
1
55
45
37
75
2323
70
Capacity
(hr)
500
380
450
(a) Formulate the problem as a Linear Programming (LP) problem
(b) Determine the optimal product-mix in the production schedule and the optimal profit
Transcribed Image Text:2. Four products are processed sequentially on three machines in an aircraft maintenance workshop. The following Table 1 gives the operational data of the problem. Machine 1 2 3 Unit selling price ($) Table 1: Operational data for the problem Manufacturing time (hr) per unit Cost per hr Product Product Product Product $ 1 3 4 10 2 4 2 5 1 2 4 2 1 55 45 37 75 2323 70 Capacity (hr) 500 380 450 (a) Formulate the problem as a Linear Programming (LP) problem (b) Determine the optimal product-mix in the production schedule and the optimal profit
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