Assumed TAMUSA has set up a remote control system among all campuses (i.e. Main, Brooks-BCBA, Alamo University Center-AUCS, Gillette-SCCA, and Satellite Office-TEEX) where students, faculty, and staff can use their personal devices to access the school computers. The signals sent over the network are broken up into electronic packets that may take a variety of different paths to reach their destination where the original indication is reassembled. There are limited numbers of packets per minute that can be transmitted over the network due to the capability. For example, it can make 5,000,000 packets/minute from BCBA to TEEX; 4,000,000 packets/minute from SCCA to Main, 2,000,000 packets/minute from SCCA to TEEX, 3,000,000 packets/minute from SCCA to AUCS, 3,000,000 packets/minute from TEEX to Main, and 1,500,000 packets/minute from AUCS to Main. The President wants to find out the maximum number of packets that can flow from BCBA to Main campus in one minute. Please answer the following questions based on the situation above.

a. What kind of the network flow problem is this (2 points)?

b. Draw a network flow model to represent of this problem (6 points).

c. Formulate the LP model for this problem