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Solution Manual of Operations and Supply Chain Management 14 Edition Jacobs £20.49   Add to cart

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Solution Manual of Operations and Supply Chain Management 14 Edition Jacobs

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  • January 17, 2024
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,Appendix A - Linear Programming Using the Excel Solver



APPENDIX A
LINEAR PROGRAMMING USING THE EXCEL SOLVER

1. Excel Solution

X Y Total
Decision 6 0
Profit $3 $1 $18

Resources
X Y Used Capacity
A 12 14 72 <= 85
B 3 2 18 <= 18
C 1 0 <= 4




Graphical solution--the problem requested the Excel solution, but the following graphical
solution is provided for classroom use if desired.




A-1
© 2014 by McGraw-Hill Education. This is proprietary material solely for authorized instructor use. Not authorized for sale or
distribution in any manner. This document may not be copied, scanned, duplicated, forwarded, distributed, or posted on a website, in
whole or part.

,Appendix A - Linear Programming Using the Excel Solver


2.

A B Total
Decision 15 10
Cost $2 $4 $70

Resources
A B Used Capacity
A 4 6 120 >= 120
B 2 6 90 >= 72
C 1 10 >= 10




Graphical solution--the problem requested the Excel solution, but the following graphical
solution is provided for classroom use if desired.




A-2
© 2014 by McGraw-Hill Education. This is proprietary material solely for authorized instructor use. Not authorized for sale or
distribution in any manner. This document may not be copied, scanned, duplicated, forwarded, distributed, or posted on a website, in
whole or part.

, Appendix A - Linear Programming Using the Excel Solver


3. a. Maximize Z = 20X1 + 6X2 + 8X3

s.t. 8X1 + 2X2 + 3X3 < 800

4X1 + 3X2 < 480

2X1 + X3 < 320

X3 < 80

X1 , X2 , X3 > 0

b. Excel solution

X1 X2 X3 Total
Decision 45 100 80
Profit $20 $6 $8 $2,140

Resources
X1 X2 X3 Used Capacity
Milling 8 2 3 800 <= 800
Lathes 4 3 480 <= 480
Grinders 2 1 170 <= 320
Sales 1 80 <= 80




c. Solution is X1 = 45 S1 = 0 Z = $2140

X2 = 100 S2 = 0

X3 = 80 S3 = 150

S4 = 0

d. S1 = 0 implies milling machines at capacity

S2 = 0 implies lathes at capacity

S3 = 150 implies grinders not at capacity, with 150 hours available

S4 = 0 implies that X3 is at maximum sales capacity

e. The shadow price for the milling machine department is $2.25 per hour. Since it only cost
$1.50 per hour to work overtime in this department, it is worthwhile to do so. The
allowable increase in overtime is 400; however, only 200 hours are available. Therefore, it
is recommended that 200 hours of overtime in the milling machine department be used.




A-3
© 2014 by McGraw-Hill Education. This is proprietary material solely for authorized instructor use. Not authorized for sale or
distribution in any manner. This document may not be copied, scanned, duplicated, forwarded, distributed, or posted on a website, in
whole or part.

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