8 Daisymay Van Line moves people between New York, Philadelphia, and Washington, D.C. It takes a van

Question:

8 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 37 must be shipped.

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.

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