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

Diagonalize the matrices in Exercises 7-20, if possible. The roul eigenvalues for Exercises 11-16 and 18 are included below the matrix.

2.1 quest 2