Explain what is the maximum flow for this network, Operation Management

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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?

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