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Page 1: Operations Research Models and Methods - VTK Gent · 3X1 + 4X2 + 6X3 s.t. 2X1 + 2X2 + 5X3 < 0 60 90 0 — number of Xl, yo, X3, L Here, Xi = units of product i produced, and L labor

Operations Research Models and Methods

Exercises

Duality and Sensitivity Analysis

Exercise 1

Page 2: Operations Research Models and Methods - VTK Gent · 3X1 + 4X2 + 6X3 s.t. 2X1 + 2X2 + 5X3 < 0 60 90 0 — number of Xl, yo, X3, L Here, Xi = units of product i produced, and L labor
Page 3: Operations Research Models and Methods - VTK Gent · 3X1 + 4X2 + 6X3 s.t. 2X1 + 2X2 + 5X3 < 0 60 90 0 — number of Xl, yo, X3, L Here, Xi = units of product i produced, and L labor

Exercise 2

Page 4: Operations Research Models and Methods - VTK Gent · 3X1 + 4X2 + 6X3 s.t. 2X1 + 2X2 + 5X3 < 0 60 90 0 — number of Xl, yo, X3, L Here, Xi = units of product i produced, and L labor
Page 5: Operations Research Models and Methods - VTK Gent · 3X1 + 4X2 + 6X3 s.t. 2X1 + 2X2 + 5X3 < 0 60 90 0 — number of Xl, yo, X3, L Here, Xi = units of product i produced, and L labor

Exercise 3

Page 6: Operations Research Models and Methods - VTK Gent · 3X1 + 4X2 + 6X3 s.t. 2X1 + 2X2 + 5X3 < 0 60 90 0 — number of Xl, yo, X3, L Here, Xi = units of product i produced, and L labor

Exercise 4

Page 7: Operations Research Models and Methods - VTK Gent · 3X1 + 4X2 + 6X3 s.t. 2X1 + 2X2 + 5X3 < 0 60 90 0 — number of Xl, yo, X3, L Here, Xi = units of product i produced, and L labor
Page 8: Operations Research Models and Methods - VTK Gent · 3X1 + 4X2 + 6X3 s.t. 2X1 + 2X2 + 5X3 < 0 60 90 0 — number of Xl, yo, X3, L Here, Xi = units of product i produced, and L labor

Exercise 5

Page 9: Operations Research Models and Methods - VTK Gent · 3X1 + 4X2 + 6X3 s.t. 2X1 + 2X2 + 5X3 < 0 60 90 0 — number of Xl, yo, X3, L Here, Xi = units of product i produced, and L labor

Exercise 6

Page 10: Operations Research Models and Methods - VTK Gent · 3X1 + 4X2 + 6X3 s.t. 2X1 + 2X2 + 5X3 < 0 60 90 0 — number of Xl, yo, X3, L Here, Xi = units of product i produced, and L labor
Page 11: Operations Research Models and Methods - VTK Gent · 3X1 + 4X2 + 6X3 s.t. 2X1 + 2X2 + 5X3 < 0 60 90 0 — number of Xl, yo, X3, L Here, Xi = units of product i produced, and L labor
Page 12: Operations Research Models and Methods - VTK Gent · 3X1 + 4X2 + 6X3 s.t. 2X1 + 2X2 + 5X3 < 0 60 90 0 — number of Xl, yo, X3, L Here, Xi = units of product i produced, and L labor

Exercise 7

Page 13: Operations Research Models and Methods - VTK Gent · 3X1 + 4X2 + 6X3 s.t. 2X1 + 2X2 + 5X3 < 0 60 90 0 — number of Xl, yo, X3, L Here, Xi = units of product i produced, and L labor

Exercise 8

Page 14: Operations Research Models and Methods - VTK Gent · 3X1 + 4X2 + 6X3 s.t. 2X1 + 2X2 + 5X3 < 0 60 90 0 — number of Xl, yo, X3, L Here, Xi = units of product i produced, and L labor
Page 15: Operations Research Models and Methods - VTK Gent · 3X1 + 4X2 + 6X3 s.t. 2X1 + 2X2 + 5X3 < 0 60 90 0 — number of Xl, yo, X3, L Here, Xi = units of product i produced, and L labor

Exercise 9

Page 16: Operations Research Models and Methods - VTK Gent · 3X1 + 4X2 + 6X3 s.t. 2X1 + 2X2 + 5X3 < 0 60 90 0 — number of Xl, yo, X3, L Here, Xi = units of product i produced, and L labor

Exercise 10

Page 17: Operations Research Models and Methods - VTK Gent · 3X1 + 4X2 + 6X3 s.t. 2X1 + 2X2 + 5X3 < 0 60 90 0 — number of Xl, yo, X3, L Here, Xi = units of product i produced, and L labor

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