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Which of the following is a formulation of a continuous variable? x>=0 x>=0 and integer O x=1,0 Ox=yCase 1: A company needs to determine which investment alternative(s) to pursue from the list: PE (Plant Expansion), WE (Warehouse Expansion), DE (Distribution Expansion). Case 2: A cell phone manufacturer needs to determine how many units to Produce (internally) and how many units to Outsource. Choose the correct variables for each case. Case 1: PE, WE, DE = 1,0. Case 2: P,O> = 0 Case 1: PE, WE, DE = 1,0. Case 2: PO>= 0 AND INTEGER Case 1: PE, WE, DE > = 0. Case 2: P,O>= 0 AND INTEGER Case 1: PE, WE, DE >= 0 AND INTEGER. Case 2: P,O=1, 0Consider the objective function to maximize profit: Max 2A + B S.T.: Constraint 1 A + B = 1.5 non-negativity A,B >= 0 Assume the optimal solution is A=3.5 and B=0. Which of the following is FALSE? If we set A and B to be integers, the new total profit will increase If A and B are continuous, the total profit is 7 If we set A and B to be integers, the optimal solution (A=4, B=0) is not feasible If we set A and B to be integers, Excel's SOLVER will not generate the Sensitivity Report