G z Product Mix Example Product 3 P01 P02 P03 P04 Profit/unit: 26 35 25 37 Hours : Machine available : Roll T0 Cut Production time/unit in hours on machine 2.4 2.6 28 1.7 2.1 1.4 34 1.1 2.5 1.7 11 Weld 21 1.6 1.3 1.6 0.8 12 14 17 14 Slheeti Reait, Cal:uate vetage: 1.3593333 Ceunt: 12 Sun 20.8 Figure 3S1.2 Data needed for the product-mix example.

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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LINGO SOFTWARE

Consider a production-mix problem where we are concerned with what mix of four products we should produce during the upcoming week. 
For each product, each unit produced requires a known amount of production time on each of the three machines. 
Each machine has a certain number of hours of production time available per week. Each product provides a certain profit per unit produced.

Figure 3S1.2 shows three types of data: machine-related data, product-related data, and data related to combinations of a machine and product. 

The objective is to determine how much to produce for each product so that total profit is maximized while not exceeding the limited production capacity of each machine.

Requirement: Solve this problem in LINGO software.

 

G
z Product Mix Example
Product
3
P01
P02
P03
P04
Profit/unit:
26
35
25
37
Hours
: Machine available
: Roll
T0 Cut
Production time/unit in hours on machine
2.4
2.6
28
1.7
2.1
1.4
34
1.1
2.5
1.7
11 Weld
21
1.6
1.3
1.6
0.8
12
14
17
14
Slheeti
Reait,
Cal:uate
vetage: 1.3593333 Ceunt: 12
Sun 20.8
Figure 3S1.2 Data needed for the product-mix example.
Transcribed Image Text:G z Product Mix Example Product 3 P01 P02 P03 P04 Profit/unit: 26 35 25 37 Hours : Machine available : Roll T0 Cut Production time/unit in hours on machine 2.4 2.6 28 1.7 2.1 1.4 34 1.1 2.5 1.7 11 Weld 21 1.6 1.3 1.6 0.8 12 14 17 14 Slheeti Reait, Cal:uate vetage: 1.3593333 Ceunt: 12 Sun 20.8 Figure 3S1.2 Data needed for the product-mix example.
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