Failsafe Electronics Corporation primarily manufactures four highly tochnical products, which it supplies to acrospace firms that hold NASA contracts. Each of the products must pass through the following depart- ments before they are shipped: wiring drilling, assembly, and inspection. The time roquirements in cach department (in hours) for cach unit produced and its corresponding profit value are summarized in this table: DEPARTMENT PRODUCT WRING DRILLING ASSEMBLY INSPECTION UNIT PROFIT xu201 59 XM897 1.5 1.0 $12 TR29 1.5 in $15 BR788 1.0 $11 The production time available in cach department cach month and the minimum monthly production requirement to fulfill contracts are as follows DEPARTMENT CAPACITY HOURS) PRODUCT MINIMUM PRODUCTION LEVEL Wiring 1,500 X201 150 Driling 2,350 XM897 100 Assembly 2,600 TR29 200 Inspection 1,200 BR788 400

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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(see attached image, kindly answer it based on your knowledge, thank you!)

PRODUCTION-MIX EXAMPLE
Example:
Failsafe Electronics Corporation primarily manufactures four highly technical products, which it supplies to
acrospace firms that hold NASA contracts. Each of the products must pass through the following depart-
ments before they are shipped: wiring, drilling, assembly, and inspection. The time requirements in cach
department (in hours) for cach unit produced and its corresponding profit value are summarized in this table:
DEPARTMENT
PRODUCT
WIRING
DRILLING
ASSEMBLY
INSPECTION
UNIT PROFIT
Xu201
.5
2
$9
XM897
1.5
4
1.0
$12
TR29
1.5
2
$15
BR788
1.0
3
2
.5
$11
The production time available in each department each month and the minimum monthly production
requirement to fulfill contracts are as follows:
DEPARTMENT
CAPACITY (HOURS)
PRODUCT
MINIMUM PRODUCTION LEVEL
Wiring
1,500
XJ201
150
Drilling
2,350
XM897
100
Assembly
2,600
TR29
200
Inspection
1,200
BR788
400
Transcribed Image Text:PRODUCTION-MIX EXAMPLE Example: Failsafe Electronics Corporation primarily manufactures four highly technical products, which it supplies to acrospace firms that hold NASA contracts. Each of the products must pass through the following depart- ments before they are shipped: wiring, drilling, assembly, and inspection. The time requirements in cach department (in hours) for cach unit produced and its corresponding profit value are summarized in this table: DEPARTMENT PRODUCT WIRING DRILLING ASSEMBLY INSPECTION UNIT PROFIT Xu201 .5 2 $9 XM897 1.5 4 1.0 $12 TR29 1.5 2 $15 BR788 1.0 3 2 .5 $11 The production time available in each department each month and the minimum monthly production requirement to fulfill contracts are as follows: DEPARTMENT CAPACITY (HOURS) PRODUCT MINIMUM PRODUCTION LEVEL Wiring 1,500 XJ201 150 Drilling 2,350 XM897 100 Assembly 2,600 TR29 200 Inspection 1,200 BR788 400
PRODUCTION-MIX EXAMPLE
SOLVE:
Solve this LP problem as formulated. What is the solution?
Transcribed Image Text:PRODUCTION-MIX EXAMPLE SOLVE: Solve this LP problem as formulated. What is the solution?
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