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Minimize Z = P1d1+ + P2d2- + P3(d3+ + d3-) Subject to: 4X1 + 5X2 + d1- - d1+ = 8 Constraint 1 3X1 + 2X2 + d2- - d2+ = 10 Constraint 2 10X1 + X2 + d3- - d3+ = 20 Constraint 3 a) How many solutions can you get in Goal1?  b) How many solutions can you get in Goal 2?  c) What is the satisficing solution? ( 2 possible solutions ) d) Is Goal 1 achieved? e) Is Goal 2 achieved?  f) Is Goal 3 achieved? g) What is the Z value?

Minimize Z = P1d1+ + P2d2- + P3(d3+ + d3-) Subject to: 4X1 + 5X2 + d1- - d1+ = 8 Constraint 1 3X1 + 2X2 + d2- - d2+ = 10 Constraint 2 10X1 + X2 + d3- - d3+ = 20 Constraint 3 a) How many solutions can you get in Goal1?  b) How many solutions can you get in Goal 2?  c) What is the satisficing solution? ( 2 possible solutions ) d) Is Goal 1 achieved? e) Is Goal 2 achieved?  f) Is Goal 3 achieved? g) What is the Z value?

Practical Management Science
Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter2: Introduction To Spreadsheet Modeling
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operations research 2 -  goal programming

ps: cant seem to get how to solve this problem, i appreciate the help on this, really would help me! thanks!

Minimize Z = P1d1+ + P2d2- + P3(d3+ + d3-)

Subject to:

4X1 + 5X2 + d1- - d1+ = 8 Constraint 1

3X1 + 2X2 + d2- - d2+ = 10 Constraint 2

10X1 + X2 + d3- - d3+ = 20 Constraint 3

a) How many solutions can you get in Goal1? 

b) How many solutions can you get in Goal 2? 

c) What is the satisficing solution? ( 2 possible solutions )

d) Is Goal 1 achieved?

e) Is Goal 2 achieved? 

f) Is Goal 3 achieved?

g) What is the Z value? 

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