Constraint 4 & 5 are hard constraints and the rest are soft constraints. Objective Function Min: 2X1+2X2+X3 Min: 2X,+2X2+X3 X1 + X2 + X3=10 5X1+8 X2 +6 X3 > 21 3,000 X2 <10,000 2,400 X,+3,600 X2+1,200 X3=210,000 700 X,+ 900 X2 >5,000 Which of the following is the correct way to transform constraint #3 from a hard to soft constraint? O 3,000X2 < 10,000 O 3,000X2 +d3+ - d3- < 10,000 O 3,000X2 +d3¯ - d3* = 10,000 O 3,000X2 +d3* - d3 = 10,000

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Question

10

 

Constraint 4 & 5 are hard constraints and the rest are soft constraints.
Objective Function
Min: 2X1+2X2+X3
Min: 2X,+2X2+X3
X, + X2 + X3=10
5 X+8 X2 +6 Хз 221
3,000 X2 <10,000
2,400 X,+3,600 X2+1,200 X3=210,000
700 X,+ 900 X2 > 5,000
Which of the following is the correct way to transform constraint #3 from a hard to soft constraint?
O 3,000X2 < 10,000
O 3,000X2 +d3+ - d3- < 10,000
O 3,000X2 +d3 - dz* = 10,000
О 3,000Х2 +d3*- dg%3D 10,000
Transcribed Image Text:Constraint 4 & 5 are hard constraints and the rest are soft constraints. Objective Function Min: 2X1+2X2+X3 Min: 2X,+2X2+X3 X, + X2 + X3=10 5 X+8 X2 +6 Хз 221 3,000 X2 <10,000 2,400 X,+3,600 X2+1,200 X3=210,000 700 X,+ 900 X2 > 5,000 Which of the following is the correct way to transform constraint #3 from a hard to soft constraint? O 3,000X2 < 10,000 O 3,000X2 +d3+ - d3- < 10,000 O 3,000X2 +d3 - dz* = 10,000 О 3,000Х2 +d3*- dg%3D 10,000
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