please show work

1. Consider the following transportation problem: To (cost) From 1 2 3 Supply P 36 $9 $7 130 B 123 LD 70 C 4 18 11 100 Demand 80 110 80 Solve it by using the computer. 2. Oranges are grown, picked, and then stored in warehousos in Tampa, Miami, and Frosno. These warehouses supply oranges to markets in New York. Philadelphia. Chicago, and Boston. The to lowing table shows the shipping costs per truckload (in hundreds of dollars supply, and demand Because of an agreement between distributors, shipments are prohibited from Miami to Chicago To (cost. In $100s) From New York Philadelphia Chicago Boston Supply Tampe 199 $14 $ 12 $ 17 200 Miami 10 10 50 200 Fresno 12 8 15 7 200 Demand 130 170 100 960 Formulate the probalnaar programing model and solve by Uning the computer 3. Construct a Gantt chart for the following set of activities and indicate the project completion time and slack for each activity: Activity Activity Predecessor Time (weeks) 1 3 2 1 7 3 1 2 4 2 on 5 2. 6 B 4 1 5 4 4. Identify all the paths in the following network, compute the length of each, and indicate the critical path (activity times are in weeks)