Problem 4. (10 PTS) WIDGETCO IS MAKING A PROTOTYPE OF A NEW 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: THE PRODUCT Activity Description Train workers Purchase materials Make subassembly 1 Make subassembly 2 Inspect subassembly 2 Combine subassemblies Subassembly 2 safety report Duration (Days) Requires A 6 B 9 C A,B 8 D A,B 7 D 10 F C, E 12 G 6 How QUICKLY CAN WIDGETCO COMPLETE THIS PROJECT? (A) DEFINE DECISION VARIABLES. (B) WRITE A SUITABLE LP PROBLEM FORMULATION. 2%

Question

Define Decision Variables and write LP problem formulation. Please see picture attached for problem.

Problem 4. (10 PTS) WIDGETCO IS MAKING A PROTOTYPE OF A NEW 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:
THE PRODUCT
Activity
Description
Train workers
Purchase materials
Make subassembly 1
Make subassembly 2
Inspect subassembly 2
Combine subassemblies
Subassembly 2 safety report
Duration (Days)
Requires
A
6
B
9
C
A,B
8
D
A,B
7
D
10
F
C, E
12
G
6
How QUICKLY CAN WIDGETCO COMPLETE THIS PROJECT?
(A) DEFINE DECISION VARIABLES.
(B) WRITE A SUITABLE LP PROBLEM FORMULATION.
2%

Image Transcription

Problem 4. (10 PTS) WIDGETCO IS MAKING A PROTOTYPE OF A NEW 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: THE PRODUCT Activity Description Train workers Purchase materials Make subassembly 1 Make subassembly 2 Inspect subassembly 2 Combine subassemblies Subassembly 2 safety report Duration (Days) Requires A 6 B 9 C A,B 8 D A,B 7 D 10 F C, E 12 G 6 How QUICKLY CAN WIDGETCO COMPLETE THIS PROJECT? (A) DEFINE DECISION VARIABLES. (B) WRITE A SUITABLE LP PROBLEM FORMULATION. 2%

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