The following linear programming formulation comes from a production problem, where x1 and x2 are the amount of products 1 and 2 to be produced respectively. Maximize Subject to 30X150X2 X12X2 < 12 (resource 1) 4X2 <= 4 (resource 2) 2X1 + 3X2 <= 18 (resource 3) X1 >=0, X2 >=0 (a) What is the dual problem of the above production problem? (b) The optimal solution to the primal production problem is x1=7.5, x2=1. Without solving the dual problem, can you tell what is the dual variable (shadow price) associated with resource 1? Why?
The following linear programming formulation comes from a production problem, where x1 and x2 are the amount of products 1 and 2 to be produced respectively. Maximize Subject to 30X150X2 X12X2 < 12 (resource 1) 4X2 <= 4 (resource 2) 2X1 + 3X2 <= 18 (resource 3) X1 >=0, X2 >=0 (a) What is the dual problem of the above production problem? (b) The optimal solution to the primal production problem is x1=7.5, x2=1. Without solving the dual problem, can you tell what is the dual variable (shadow price) associated with resource 1? Why?
Related questions
Question
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by step
Solved in 2 steps