Please answer and show solution & illustration for below problem. Thanks Southwestern University (SWU), located in the small town of Stephenville, Texas, is experiencing increased interest in itsfootball program now that a big-name coach has been hired. The increase in season ticket sales for the upcomingseason means additional revenues, but it also means increased complaints due to the traffic problems associated withthe football games. When a new stadium is built, this will only get worse. Marty Starr, SWU's president, has asked theUniversity Planning Committee to look into this problem.Based on traffic projections, Dr. Starr would like to have sufficient capacity so that 35,000 cars per hour could travelfrom the stadium to the interstate highway. To alleviate the anticipated traffic problems, some of the current streetsleading from the university to the interstate highway are being considered for widening to increase the capacity. Thecurrent street capacities with the number of cars (in 1,000s) per hour are shown in Figure. Since the major problem willbe after the game, only the flows away from the stadium are indicated. These flows include some streets closest to thestadium being transformed into one-way streets for a short period after each game with police officers directing traffic.12168StadiumInterstate1. If there is no expansion, what is the maximum number of cars that may actually travel from the stadium to theinterstate per hour? Why is this number not equal to 33,000, as Dr. Lee suggested?2. If the cost for expanding a street were the same for each street, which street(s) would you recommend expanding toincrease the capacity to 33,000? Which streets would you recommend expanding to get the total capacity of the systemto 35,000 perhour?

12 0 2 5 16 15 Stadium 1 12 6. 8 Interstate If there is no expansion, what is the maximum number of cars that may actually travel from the stadium to the terstate per hour? Why is this number not equal to 33,000, as Dr. Lee suggested? If the cost for expanding a street were the same for each street, which street(s) would you recommend expanding crease the canacity to 33 0002 Which streets would vou recommend expanding to get the total canacity of the syst ure 55 8. 5

12 0 2 5 16 15 Stadium 1 12 6. 8 Interstate If there is no expansion, what is the maximum number of cars that may actually travel from the stadium to the terstate per hour? Why is this number not equal to 33,000, as Dr. Lee suggested? If the cost for expanding a street were the same for each street, which street(s) would you recommend expanding crease the canacity to 33 0002 Which streets would vou recommend expanding to get the total canacity of the syst ure 55 8. 5

Practical Management Science

6th Edition

ISBN:9781337406659

Author:WINSTON, Wayne L.

Publisher:WINSTON, Wayne L.

Chapter11: Simulation Models

Section11.4: Marketing Models

Problem 30P: Seas Beginning sells clothing by mail order. An important question is when to strike a customer from...

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Seas Beginning sells clothing by mail order. An important question is when to strike a customer from the companys mailing list. At present, the company strikes a customer from its mailing list if a customer fails to order from six consecutive catalogs. The company wants to know whether striking a customer from its list after a customer fails to order from four consecutive catalogs results in a higher profit per customer. The following data are available: If a customer placed an order the last time she received a catalog, then there is a 20% chance she will order from the next catalog. If a customer last placed an order one catalog ago, there is a 16% chance she will order from the next catalog she receives. If a customer last placed an order two catalogs ago, there is a 12% chance she will order from the next catalog she receives. If a customer last placed an order three catalogs ago, there is an 8% chance she will order from the next catalog she receives. If a customer last placed an order four catalogs ago, there is a 4% chance she will order from the next catalog she receives. If a customer last placed an order five catalogs ago, there is a 2% chance she will order from the next catalog she receives. It costs 2 to send a catalog, and the average profit per order is 30. Assume a customer has just placed an order. To maximize expected profit per customer, would Seas Beginning make more money canceling such a customer after six nonorders or four nonorders?
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