1. In a capital budgeting problem, if either project 1 or project 2 is selected, then project 5 cannot be selected. Which of the alternatives listed below correctly models this situation?

2. The Wiethoff Company has a contract to produce 10000 garden hoses for a customer. Wiethoff has 4 different machines that can produce this kind of hose. Because these machines are from different manufacturers and use differing technologies, their specifications are not the same. Write the constraint that indicates they can purchase no more than 3 machines.

3. The solution to the linear programming relaxation of a minimization problem will always be __________ the value of the integer programming minimization problem.

4. In a __________ integer model, some solution values for decision variables are integers and others can be non-integer.

5. In a 0-1 integer programming model, if the constraint x1-x2 0, it means when project 2 is selected, project 1 __________ be selected.