Assignment #3 This type of problem is called assignment problem, but its formulation is very similar to the transportation problem A large manufacturing company is closing three of its existing plants and intends to transfer some of its more skilled employees to three plants that will remain open . The number of employees available for transfer from each closing plant is as follows : Closing Plant Transferable Employees A 50 B 105 C 70 Total 235 Open Plants Employees Needed 45 V 90 7 35 Total 170 Each transferred employee will increase product output per day at each open plant as shown in the following table To From X Y IN A 5 6 B 10 9 12 C 7 6 8 The company wants to transfer employees to ensure the maximum increase in product output . Draw the network of this problem . Clearly state your decision variables and formulate this problem as a linear program