Question 1: Which statement regarding the elements of the Network is not true?

Group of answer choices

1. Supply usually is represented by inflow and the demand outflow.
2. There are two types of nodes: supply and demand.
3. The lower and Upper bond of each arc is an element of the Network.
4. Arcs could be directional or in-directional.

Question 2: Which statement regarding the Network formulation is not true?

Group of answer choices

1. Many network problems may give integer solutions without integer constraints.
2. Networks may help us describe the problem.
3. If the Network formulation meets the condition of Total Unimodularity, it can have an integer optimal solution without integer constraints.
4. As long as the right-hand side constraints of the Network formulation are all integer, you can get integer optimal solution without integer constraints.

Q3 to Q6 are based on this problem.

Jack has warehouses in cities represented by nodes 1, 2, and 3 in the following figure. The values on the arcs indicate the per-unit shipping costs required to transport a truckload of masks between various cities. The supply of truckloads of masks at each warehouse is indicated by the negative number next to nodes 1, 2, and 3. The demand for living room suites is indicated by the positive number next to the remaining nodes. Jack likes to minimize the total shipping cost. I suggest you write out the complete formulation before answering the multiple-choice questions.

Question 3: which statement about decision variables and the objective function is not true?

min ZCiXi where (i,))\fO A. For the Supply Node i, the balance constraint is Si>= _; Xij O B. For the Demand Node j, the balance constraint is Zo. Xij > =Dj O C. For the Transhipment Node k, the balance constraint is Exi + SK > DK + EXi OD. For the Transhipment Node k, the balance constraint is [ Xik + SK SDK + EXkj