1.Is it true that in a linear programming problem, a valid objective function can be represented as Min Z= (x1 + x2) / x3? (2points)

2.Let Xij = the production of product i in period j.Write down the constraints specifying that production of product 1 in period 3 and in period 4 differs by no more than 100 units. (3 points)

3.Suppose that a constraint that should be in a maximization linear program is left out of the formulation by mistake.Let P denote the correct formulation and let Q denote the incorrect formulation.Is it possible that Q has a smaller feasible region than P? (3 points)