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Grand View University OPERATION MGT 455-Problem Set 8 B.1, B.5, B.7, D.1, and D.9

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Question;Problem Set 8;B.1, B.5, B.7, D.1, and D.9 (parts a through e, assume ? =;15);B.1 Solve the following linear programming problem;graphically;B.5 Solve the following LP problem graphically;B.7 The Attaran Corporation manufactures two electrical;products: portable air conditioners and portable heaters. The assembly process;for each is similar in that both require a certain amount of wiring and;drilling. Each air conditioner takes 3 hours of wiring and 2 hours of drilling.;Each heater must go through 2 hours of wiring and 1 hour of drilling. During;the next production period, 240 hours of wiring time are available and up to;140 hours of drilling time may be used. Each air conditioner sold yields a;profit of $25. Each heater assembled may be sold for a $15 profit. Formulate;and solve this LP production-mix situation, and find the best combination of air;conditioners and heaters that yields the highest profit.;D.1 Customers arrive at Rich Dunn?s Styling Shop at a rate;of 3 per hour, distributed in a Poisson fashion. Rich can perform haircuts at a;rate of 5 per hour, distributed exponentially.;a) Find the average number of customers waiting for;haircuts.;b) Find the average number of customers in the shop.;c) Find the average time a customer waits until it is his or;her turn.;d) Find the average time a customer spends in the shop.;e) Find the percentage of time that Rich is busy.;D.9 Neve Commercial Bank is the only bank in the town of;York, Pennsylvania. On a typical Friday, an average of 10 customers per hour;arrive at the bank to transact business. There is currently one teller at the;bank, and the average time required to transact business is 4 minutes. It is;assumed that service times may be described by the exponential distribution. If;a single teller is used, find;arrival time 6;processing time 4;exponential distribution 1;CV factor 1;Utilization 0.67;Utlization factor 2;a) The average time in the line.;b) The average number in the line.;c) The average time in the system.;d) The average number in the system.;e) The probability that the bank is empty;CEO Benjamin Neve is considering adding a second teller (who;would work at the same rate as the first) to reduce the waiting time for;customers. A single line would be used, and the customer at the front of the;line would go to the first available bank teller. He assumes that this will cut;the waiting time in half. If a second teller is added, find the new answers to;parts (a) to (e).;With one more teller added;utilization;utilization factor;a) The average time in the line.;b) The average number in the line.;c) The average time in the system.;d) The average number in the system.;e) The probability that the bank is empty

 

Paper#45789 | Written in 18-Jul-2015

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