PLEASE ANSWER TRUE OR FALSE FOR THE FOLLOWING STATEMENTS: 1. To develop an LP mathematical model for a transportation or transshipment problem, you must define a variable for each arc and a constraint for each node. 2. A transportation problem with 3 sources and 4 destinations will have 12 variables in the objective function. 3. A dummy origin in a transportation problem is used when demand is less than supply. 4. Generally, the optimal solution to an integer linear program is NOT sensitive to the constraint coefficients than is a linear program. 5. The constraint x1-x2= 0 implies that if project 1 is selected, project 2 cannot be. 6. If Project 5 must be completed before Project 6, the constraint would be x5 => x6