How would this objective coefficient range information help you answer parts (b) and (c) prior to re-solving the problem?

The objective coefficient range for variable X is to . Since the change in part (b) is ---Select--- within outside this range, we know the optimal solution ---Select--- will will not change. The objective coefficient range for variable Y is to . Since the change in part (c) is ---Select--- within outside this range, we know the optimal solution ---Select--- will will not change

Consider the following linear program. Min8X+12Ys.t.1X+3Y62X+2Y86X+2Y12X,Y0 (a) Use the graphical solution procedure to find the optimal solution. What is the value of the objective function at the optimal solution? at (X,Y)=(x) (b) Assume that the objective function coefficient for X changes from 8 to 6 . Use the graphical solution procedure to find the new optimal solution. Does the optimal solution change? The extreme point (X,Y)=() remains optimal. The value of the objective function becomes solution. Does the optimal solution change? The extreme point (X,Y)=() optimal. The value of the objective function becomes (d) The computer solution for the linear program in part (a) provides the following objective coefficient range information