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Daisymay Van Line moves people between New York Philadelphia and Washington D.C. It takes a van one day to travel between any two of these cities The company incurs costs of $1000 per day for

Daisymay Van Line moves people between New York, Philadelphia, and Washington, D.C. It takes a van one day to travel between any two of these cities. The company incurs costs of $1,000 per day for a van that is fully loaded and traveling, $800 per day for an empty van that travels, $700 per day for a fully loaded van that stays in a city, and $400 per day for an empty van that remains in a city. Each day of the week, the loads described in Table must be shipped.

Trip

Monday

Tuesday

Wednesday

Thursday

Friday

Phil.–N.Y.

2

Phil.–Wash.

2

2

N.Y.–Phil.

3

2

N.Y.–Wash.

2

2

N.Y.–Phil.

1

Wash.–N.Y.

1

1

On Monday, for example, two trucks must be sent from Philadelphia to New York (arriving on Tuesday). Also, two trucks must be sent from Philadelphia to Washington on Friday (assume that Friday shipments must arrive on Monday). Formulate an MCNFP that can be used to minimize the cost of meeting weekly requirements. To simplify the formulation, assume that the requirements repeat each week. Then it seems plausible to assume that any of the company’s trucks will begin each week in the same city in which it began the previous week.

Aug 10 2020 View more View Less

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