Union Express has 60 tons of cargo that need to be shipped from Boston to Dallas. The shipping capacity on each of the routes Union Express planes fly each night is shown in the following table:
Nightly Flight Segments capacity (in tons)
boston to baltimore 30 tons
boston to pittsburgh 25 tons
boston to cincinnati 35 tons
baltimore to atlanta 10 tons
baltimore to cincinnati 5 tons
pittsburgh to atlanta 15 tons
pittsburgh to chicago 20 tons
cincinnati to chicago 15 tons
cincinnati to memphis 5 tons
atlanta to memphis 25 tons
atlanta to dallas 10 tons
chicago to memphis 20 tons
chicago to dallas 15 tons
memphis to dallas 30 tons
memphis to chicago 15 tons
Will Union Express be able to move all 60 tons from boston to dallas in one night?
a. Draw a network flow model for this problem.
b. Create a spreadsheet model for the problem and solve it.
c. what is the maximum flow for this network?