Widgetco is making a prototype of a new product. The product consists of two subassemblies. Before building either subassembly, the firm must purchase raw materials and train workers. Before the subassemblies can be combined, subassembly 2 must be inspected. The following table describes the project: Activity Description Requires Duration (Days) A Train workers 6 B Purchase materials 9 C Make subassembly 1 A,B 8 D Make subassembly 2 A,B 7 E Inspect subassembly 2 D 10 F Combine subassemblies C, E 12 G Subassembly 2 safety report E 6 How quickly can Widgetco complete this project? (a) Define decision variables. (b) Write a suitable LP problem formulation.
Widgetco is making a prototype of a new product. The product consists of two subassemblies. Before building either subassembly, the firm must purchase raw materials and train workers. Before the subassemblies can be combined, subassembly 2 must be inspected. The following table describes the project: Activity Description Requires Duration (Days) A Train workers 6 B Purchase materials 9 C Make subassembly 1 A,B 8 D Make subassembly 2 A,B 7 E Inspect subassembly 2 D 10 F Combine subassemblies C, E 12 G Subassembly 2 safety report E 6 How quickly can Widgetco complete this project? (a) Define decision variables. (b) Write a suitable LP problem formulation.
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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Question
Widgetco is making a prototype of a new product. The product
consists of two subassemblies. Before building either subassembly, the firm must purchase
raw materials and train workers. Before the subassemblies can be combined, subassembly
2 must be inspected. The following table describes the project:
Activity Description Requires Duration (Days)
A Train workers 6
B Purchase materials 9
C Make subassembly 1 A,B 8
D Make subassembly 2 A,B 7
E Inspect subassembly 2 D 10
F Combine subassemblies C, E 12
G Subassembly 2 safety report E 6
How quickly can Widgetco complete this project?
(a) Define decision variables.
(b) Write a suitable LP problem formulation.
Transcribed Image Text:WIDGETCO IS MAKING A PROTOTYPE OF A NEW PRODUCT. THE PRODUCT
CONSISTS OF TWO SUBASSEMBLIES. BEFORE BUILDING EITHER SUBASSEMBLY, THE FIRM MUST PURCHASE
RAW MATERIALS AND TRAIN WORKERS. BEFORE THE SUBASSEMBLIES CAN BE COMBINED, SUBASSEMBLY
2 MUST BE INSPECTED. THE FOLLOWING TABLE DESCRIBES THE PROJECT:
Activity
A
Description
Train workers
Requires Duration (Days)
B
Purchase materials
C
Make subassembly 1
Make subassembly 2
Inspect subassembly 2
Combine subassemblies
Subassembly 2 safety report
А,В
8
D
А,В
D
7
E
10
С, Е
E
F
12
G
6
How QUICKLY CAN WIDGETCO COMPLETE THIS PROJECT?
(A) DEFINE DECISION VARIABLES.
(B) WRITE A SUITABLE LP PROBLEM FORMULATION.
Transcribed Image Text:WIDGETCO IS MAKING A PROTOTYPE OF A NEW PRODUCT. THE PRODUCT
CONSISTS OF TWO SUBASSEMBLIES. BEFORE BUILDING EITHER SUBASSEMBLY, THE FIRM MUST PURCHASE
RAW MATERIALS AND TRAIN WORKERS. BEFORE THE SUBASSEMBLIES CAN BE COMBINED, SUBASSEMBLY
2 MUST BE INSPECTED. THE FOLLOWING TABLE DESCRIBES THE PROJECT:
Activity
A
Description
Train workers
Requires Duration (Days)
B
Purchase materials
C
Make subassembly 1
Make subassembly 2
Inspect subassembly 2
Combine subassemblies
Subassembly 2 safety report
А,В
8
D
А,В
D
7
E
10
С, Е
E
F
12
G
6
How QUICKLY CAN WIDGETCO COMPLETE THIS PROJECT?
(A) DEFINE DECISION VARIABLES.
(B) WRITE A SUITABLE LP PROBLEM FORMULATION.
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