accounting-Panini-ville is expecting the opening of a Delicious Sandwich restaurant

QUESTION

Panini-ville
is expecting the opening of a Delicious Sandwich restaurant in its town in 3
weeks. The mayor of Panini-ville wishes
to avoid mass chaos in the streets.
Therefore, the mayor has decided to restrict the flow of traffic through
the town. Some streets will be blocked
to one-way, while others will be open in both lanes. Numbers are given in the chart below representing
thousands of cars that can travel each road each hours:

From

To

Flow Capacity

Reverse Flow Capacity

1

2

3

–

1

4

3

–

1

3

6

–

2

4

2

2

2

5

4

4

3

6

2

–

3

4

3

3

4

5

2

2

4

6

3

–

5

6

6

–

(a)
How many vehicles can travel over each road before maximum flow is
obtained? What is the maximal flow? Assume that the flow goes from 1 to 6, where
6 is the location of the new restaurant.
(b)
Suppose that you (in place of the
mayor) can open another road. This road
has a flow of 4 thousand cars per hour, and cannot start or end at 6. Assuming this ONE road, where would you place
the road in order to increase overall flow the most? Explain briefly.

ANSWER:

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