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
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter5: Network Models
Section5.3: Assignment Models
Problem 12P
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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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