Consider the following linear programs Min 8X + 12y S.t. 1X + 37 29 2x + 21 219 6X + 2 2 18 (a) Use the graphleal solution procedure to find the opt What is the value of the objective function at (b) Assume that the objective function coefficient fo changes from s to a. use the graphical solorios procedure to Does the optimal solution change? The extreme point (X, n) = Select optimal, The valve at are select a ers (c) Assume that the objective function coefficient for x remains 8, but the obj Dipes the optimal solution change? The extreme point (X, ) = Select Pop (d) The computer solution for the linear program In part (a) provides t Variable Objective Allowable Allowable Coefficient Increase X 8.00000 4.09000 4 05090 12.00094 12:00000 :00900 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 Itof Since the change In part (b) is -Se . Since the change in part (c) is -Select.. v this range, we know the optimal sol Need Help