Questions from Management Science


Q: Cakes baked by the Freshfood Bakery are transported from the ovens to

Cakes baked by the Freshfood Bakery are transported from the ovens to be packaged by one of three wrappers. Each wrapper can wrap an average of 200 cakes per hour. The cakes are brought to the wrapper...

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Q: The associate dean of the college of business at Tech is determining

The associate dean of the college of business at Tech is determining which of two copiers he should lease for the college’s administrative suite. A regular copier leases for $8 per hour, and it takes...

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Q: A company has 20 computers in its office in Johannesburg. Though

A company has 20 computers in its office in Johannesburg. Though the computers are brand new, they do fail and this affects the company’s work. A computer crashes every 25 days. The company estimates...

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Q: A single-server queuing system with an infinite calling population and

A single-server queuing system with an infinite calling population and a first-come, first-served queue discipline has the following arrival and service rates (Poisson distributed):  = 16 customers p...

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Q: The Regency Hotel has enough space at its entrance for six taxicabs

The Regency Hotel has enough space at its entrance for six taxicabs to line up, wait for guests, and then load passengers. Cabs arrive at the hotel every 8 minutes; if a taxi drives by the hotel and t...

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Q: On December 16, 1944, in the last year of World

On December 16, 1944, in the last year of World War II, two German panzer armies, supported by a third army of infantry, together totaling more than 250,000 men, staged a massive counteroffensive in n...

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Q: The Valley Swim Club has 300 stockholders, each holding one share

The Valley Swim Club has 300 stockholders, each holding one share of stock in the club. A share of club stock allows the shareholder’s family to use the club’s heat...

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Q: The local Burger Doodle fast-food restaurant has a drive-

The local Burger Doodle fast-food restaurant has a drive-through window. Customers in cars arrive at the window at the rate of 10 per hour (Poisson distributed). It requires an average of 4 minutes (e...

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Q: From 3:00 p.M. to 8:00

From 3:00 p.M. to 8:00 p.M. the local K-Star Supermarket has a steady stream of customers. Customers finish shopping and arrive at the checkout area at a rate of 70 per hour (Poisson distributed). It...

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Q: Customers arrive to check in at the exclusive and expensive Regency Hotel’s

Customers arrive to check in at the exclusive and expensive Regency Hotel’s lobby at a rate of 40 per hour (Poisson distributed). The hotel normally has three clerks available at the desk to check in...

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