Longest accounting 55 years shortest marketing and

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Longest = Accounting (5.5 years) Shortest = Marketing and Management (3.75 years) You suddenly realize that you forgot to ask your staff for the numbers regarding students who drop out. You ask them to provide you with updated data to determine how long it takes your students to graduate. They provide you with the following data: 40% of the incoming students are freshmen and the rest are transfer students. Sadly, there are 10% drop-outs. The time to graduate for freshmen students on average is 2.5 times greater than that of transfer students, and the time that the drop-outs spend in CSUN is half of that of transfer students. How long does it take freshman students to graduate? You start with the time it takes for a drop out to leave DNCOBAE: T: CSUN-life for a drop-out (10%) Then you know that transfer students take twice the time of a drop-out to graduate: 2T: time to graduate for a transfer student (40%) And freshman graduate at 2.5 times the amount of time it takes a transfer student to graduate: 5T: Time to graduate for a freshman: 5T (60%) But wait, the percentages of students in your data add up to more than 100%? 10%+40%+60 = 110% We need to have the total weights = 100%, it is now 110%. How can we accomplish this? The average time to leave CSUN for an incoming student is still 4.5 years. Therefore, the Throughput Time (T) for the average student is: 3T Thus, we can determine that 3T = 4.5 years
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So it follows that T(10/110)+2T(60/110)+5T(40/110) = 3T 3T = 4.5 years T = 1.5 years T = the time a drop-out spends at CSUN = 1.5 years 2T: time to graduate for a transfer student = 3 years 5T: Time to graduate for a freshman: 5T = 7.5 years Example 3: Fresh Juice A recent CSUN graduate has opened up a cold beverage stand “CSUN-STAND” in Venice Beach. She works 8 hours a day and observes that on average there are 320 customers visiting CSUN-STAND every day. She also notes that on average a customer stays in line at the stand for 6 minutes. a) How many customers on average are waiting at CSUN-STAND? A) 4 B) 2.75 C) 3.75 D) 3.25 E) 4.25 She is thinking about running a marketing campaign to boost the number of customers per day. She expects that the number of customers will increase to 480 per day after the campaign. She wants to keep the line short at the stand and hopes to have only 2 people waiting on the average. Thus, she decides to hire an assistant. b) What is the average time a customer will wait in the system after all these changes? A) 4 min B) 3 min C) 2 min D) 1 min E) none of the above c) After the marketing campaign, a recent UCLA graduate has opened up a competing cold beverage stand. The UCLA grad is not as efficient as the CSUN grad, so customers must stay an average of 10 minutes at “UCLA-STAND.” Suppose there is an average of 3 customers at UCLA-STAND. The total number
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of customers for both CSUN- and UCLA- STANDs remains at 480 per day, as it was after the marketing campaign. But now it is divided between the CSUN- STAND and UCLA- STAND.
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