6. b. False solved to optimality. Consider a partial output from a profit maximization problem that has been Name Labor Time Final Value 500 Shadow Price 12 Constraint Allowable Allowable R.H. Side Increase Decrease 500 100 200 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 decreases to 300? a. It will remain at 12. b. It will become zero. c. It will become a larger number, such as 15.* d. It will become a smaller but still positive number, such as 9. e. It will become a negative number. 7. The objective function of a minimization problem with 2 decision variables is 7x-4y. The optimal solution turns out to be x* =10 and y* =5. If the objective function becomes min 7x-6y, which of the following COULD be the new optimal solution for x? a. 7 b. 10 c. 12 d. 14 e. Both a and b are possible. * dou