While answering the questions below, provide a table that can be used to easily convert (IF, THEN, ELSE, AND, OR) operators that you would use in Exel/Other Programming languages into disjunctive constraints. In other words, provide a table that will assist you in your formulation of constraints/objectives for Linear Programming Models.

a. An integer program has 2 binary variables y1 and y2. provide a single expression to insure that if y1 is chosen (i.e, y1 equal to one), then y2 will be chosen as well.

b. An integer program has 5 binary variables y1, y2, y3, y4, and y5. provide a single expression to insure that at least 3 of these variables will be chosen (i.e, yi equal to one).

c. An integer program has 5 binary variables y1, y2, y3, y4, and y5. provide a single expression to insure that if one or more of y1, y2, or y3 are chosen (i.e, yi equal to one), then at least one of y4, and y5 are chosen.