Some persons are arriving at a Caribbean rail ticket office during the morning peak commuter period frequently have to wait for service. There is one clerk who issues tickets and provides an information service for passengers. The Boss has received complaints regarding the time passengers spend in the queue waiting to be served, and she wishes to investigate possible methods of reducing the queueing time. Possible ideas include employing a second ticket clerk who could either share the work of the existing clerk or perhaps handle enquiries only. Another idea may be to collect fares on the train. The manager decided to collect data on arrivals and service times over a number of days, and her figures are summarized T Inter - arrival time (Secs) 0 to under 30 30 to under 60 60 to under 90 90 to under 120 Frequency (%) 55 30 10 5

Some persons are arriving at a Caribbean rail ticket office during the morning peak commuter period frequently have to wait for service. There is one clerk who issues tickets and provides an information service for passengers. The Boss has received complaints regarding the time passengers spend in the queue waiting to be served, and she wishes to investigate possible methods of reducing the queueing time. Possible ideas include employing a second ticket clerk who could either share the work of the existing clerk or perhaps handle enquiries only. Another idea may be to collect fares on the train. The manager decided to collect data on arrivals and service times over a number of days, and her figures are summarized T Inter - arrival time (Secs) 0 to under 30 30 to under 60 60 to under 90 90 to under 120 Frequency (%) 55 30 10 5

College Algebra (MindTap Course List)

12th Edition

ISBN:9781305652231

Author:R. David Gustafson, Jeff Hughes

Publisher:R. David Gustafson, Jeff Hughes

Chapter6: Linear Systems

Section6.8: Linear Programming

Problem 5SC: If during the following year it is predicted that each comedy skit will generate 30 thousand and...

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If during the following year it is predicted that each comedy skit will generate 30 thousand and each musical number 20 thousand, find the maximum income for the year. A television program director must schedule comedy skits and musical numbers for prime-time variety shows. Each comedy skit requires 2 hours of rehearsal time, costs 3000, and brings in 20,000 from the shows sponsors. Each musical number requires 1 hour of rehearsal time, costs 6000, and generates 12,000. If 250 hours are available for rehearsal and 600,000 is budgeted for comedy and music, how many segments of each type should be produced to maximize income? Find the maximum income.
Faschip, Ltd., is a new African manufacturer of notebook computers. Their quality target is that 99.999% of the computers they produce will perform exactly as promised in the descriptive literature. In order to monitor their quality performance they include with each computer a large piece of paper that includes a direct—toll-free—phone number to the Senior Vice President of Manufacturing that can be used if the computer does not perform as promised. In the first year Faschip sells 1,000,000 computers.a. If they are achieving their quality target, what is the probability that they will receive fewer than 5 calls? If this occurs what would be a reasonable conclusion about their quality program? b. If they are achieving their quality target, what is the probability that they will receive more than 15 calls? If this occurs, what would be a reasonable conclusion about their quality program?
According to the website of the Lt. Governor of the State of Hawai'i, the state has the highest rate of homelessness per capita in the nation. Unfortunately, the state is also sometimes a target by the homeless from other states who try to get to Hawai'i for its perennial nice weather. Such people are identified and face either being arrested or given a free one-way ticket back to wherever they came from. At one homeless shelter in Hawai'i, there are 12 individuals from New York and 17 from Louisiana. Of these individuals, what is the probability that 7 individuals from New York and 12 from Louisiana accept to be given a free one-way ticket back to where they came from in order to avoid being arrested? Note: If your answer has up to four decimal places, please enter it in the box below without rounding the number. However, if your answer has more than four decimal places, please round your answer to four decimal places.
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Dr. Maureen Becker, the head administrator at Jefferson County Regional Hospital, must determine a schedule for nurses to make sure there are enough of them on duty throughout the day. During the day, the demand for nurses varies. Maureen has broken the day into twelve 2-hour periods. The slowest time of the day encompasses the three periods from 12:00 a.m. to 6:00 a.m., which, beginning at midnight, require a minimum of 30, 20, and 40 nurses, respectively. The demand for nurses steadily increases during the next four daytime periods. Beginning with the 6:00 a.m.–8:00 a.m. period, a minimum of 50, 60, 80, and 80 nurses are required for these four periods, respectively. After 2:00 p.m. the demand for nurses decreases during the afternoon and evening hours. For the five 2-hour periods beginning at 2:00 p.m. and ending at midnight, 70, 70, 60, 50, and 50 nurses are required, respectively. A nurse reports for duty at the beginning of one of the 2-hour periods and works 8 consecutive hours…
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Suppose a company needs temporary passwords for the trial of a new time management software.
The River is a literary magazine published by the English Department at Tech. It has a 70-year history and enjoys an excellent reputation for providing a literary outlet for aspiring Appalachian writers in particular. However, its sales, mostly through independent bookstores and college libraries, have never been very large. Several years ago, the magazine’s advisory board decided to create a Web site and post the bi-monthly issues online for free access. Due to poor economic conditions and state budget cuts, Tech recently withdrew funding for the magazine, and in order to make up for this financial loss, the magazine’s staff has decided to try to sell advertising (especially to local and regional businesses) on the magazine’s Web site. In order to sell advertising, the magazine’s staff would like to be able to provide potential advertisers with a forecast of the number of “visits” the Web site might receive in future months. Following is the number of monthly visits the Web site has…
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