Questions from Management Science


Q: The town of Busville has three school districts. The numbers of

The town of Busville has three school districts. The numbers of black students and white students in each district are shown in the file P05_42.xlsx. The Supreme Court requires the schools in Busville...

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Q: A truck must travel from New York to Los Angeles. As

A truck must travel from New York to Los Angeles. As shown, several routes are available. The number associated with each arc is the number of gallons of fuel required by the truck to traverse the arc...

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Q: You are trying to help the MCSCC (Monroe County School Corporation

You are trying to help the MCSCC (Monroe County School Corporation) determine the appropriate high school district for each housing development in Bloomington. For each development, you are given the...

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Q: A school system has 16 bus drivers that must cover 12 bus

A school system has 16 bus drivers that must cover 12 bus routes. Each driver can cover at most one route. The driver’s bids for the various routes are listed in the file P05_45.xlsx. Each bid indicat...

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Q: The government is auctioning off oil leases at two sites. At

The government is auctioning off oil leases at two sites. At each site, 150,000 acres of land are to be auctioned. Cliff Ewing, Blake Barnes, and Alexis Pickens are bidding for the oil. Government rul...

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Q: The 7th National Bank has two check-processing sites. Site

The 7th National Bank has two check-processing sites. Site 1 can process 10,000 checks per day, and site 2 can process 6000 checks per day. The bank processes three types of checks: vendor, salary, an...

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Q: The Amorco Oil Company controls two oil fields. Field 1 can

The Amorco Oil Company controls two oil fields. Field 1 can produce up to 22 million barrels of oil per day, and field 2 can produce up to 19 million barrels of oil per day. At field 1, it costs $42.5...

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Q: Touche Young has eight auditors. Each can work up to 160

Touche Young has eight auditors. Each can work up to 160 hours during the next month, during which time six projects must be completed. The hours required for each project and the amounts each auditor...

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Q: In the Grand Prix example with varying tax rates, the optimal

In the Grand Prix example with varying tax rates, the optimal solution uses all available plant capacity and more than satisfies customer demands. Will this always be the case? Experiment with the uni...

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Q: Five employees are available to perform four jobs. The time it

Five employees are available to perform four jobs. The time it takes each person to perform each job is given in the file P05_50.xlsx. Determine the assignment of employees to jobs that minimizes the...

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