12. Consider a partial output from a maximization problem that has been solved t

Question

12. Consider a partial output from a maximization problem that has been solved to optimality Final Value 600 Shadow Constraint Allowable Allowable R.H. Side Increase Deerease Name Price 12 Labor Time 500 200 300 The Labor Time constraint is a resource availability constraint. What will happen to the dual value (shadow price) if the right-hand-side for this constraint increases a. It will become a larger number. b. It will remain at 12. c. It will become a negative number. d. It will become a smaller number but still remain greater than or equal to zero. to 800? e. (b) and (d) are both possible. The optimal solution turns out to be x*-10 and y -8. If the objective function nin 3x+5y, which of the following COULD be the new optimal solution for x? 13. The objective function of a minimization problem with 2 decision variables is 3x+2y. d. 12 e. 10 and 12 are both possib b. 7 c. 10 6

Explanation / Answer

12 C As the allowable increase is 200, so max for optimal solution is 700. Hence with 300 increase it would become negative in shadow price to attain optimal value 13 E 10 as, it was already min and 12 as with increase in value of Obj function Y coefficient, value of X coeff can increase 14 B By definition

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