Implement the following LP problem in a spreadsheet. information to answer the following questions: MAX: Subject to: 5X + 4X 2X + 4X 3X + 5X2 X1, X2 VI VI IV Use this 20 15 0 (a)What range of values can the objective function coefficient for variable X, assume without changing the optimal solution? (If there is no limit on how much the coefficient can increase or decrease, enter .) The objective function coefficient for variable X can decrease by (?) or increase by (?) (B) How much does the objective function coefficient for variable X have to increase before it enters the optimal solution at a strictly positive level? (C) What is the optimal objective function value if X2 equals 1? (D) What is the optimal objective function value if the RHS value for the second constraint changes from 15 to 22? (F) Is the current solution still optimal if the coefficient for X in the second constraint changes from 5 to 1? Explain. If we change this coefficient from 5 to 1, then the new reduced cost for X for our current solution would be (?).