TCF Bank Stadium has 52,500 seats available all year for events. Assume that eac
ID: 1191593 • Letter: T
Question
TCF Bank Stadium has 52,500 seats available all year for events. Assume that each event lasts 6 hours and fills the stadium completely. The stadium is available for events starting at 9 am through mid-night every day throughout the year. The Gopher football team plays 7 home games each year and shares the stadium with the Minnesota Vikings. The Vikings play 8 regular season games and 2 pre-season games at the Bank during the year. What is the yearly “seat utilization” for the stadium for these combined football events? How many events in a year are to be scheduled to reach a seat utilization rate of over 5%?
An agent is able to process 350 orders per day with an average processing time of 10 working days. What is the average number of orders can be processed by this agent? The agent is able to acquire updates to be able to reduce processing time. The first software package can reduce the time from 10 days to 8.5 days. The second package can reduce the time to 7 days. What are the average number of orders being processed with each version (what is the WIP)? What are the advantages of purchasing a new version? Explain
An assembly line with 18 activities is to be balanced. The total amount of time to complete all 18 activities is 43 minutes. The longest activity takes 5.5 minutes and the shortest takes 2.5 minutes. The line will operate for 840 minutes a day.
Part A) What are the maximum and minimum cycle times? How much daily output is achieved by each of those cycle times?
Part B) Suppose the line is balanced by using 4 workstations and a finished product can be produced every 11 minutes.
What is the production rate in units per day? What is the assembly line efficiency?
Explanation / Answer
The total seats available in a year are 52,500; which would be filled completely for every 6 hours game.
The total in a year is, 365 * 24 hours.
Now, the stadium is available for 9 AM to 12 AM; so the remaining 9 hours is not to be included into the analysis.
So, the total hours for which the stadium is available would be, (365 * 24 – 365 * 9) hours = 5475 hours.
Now, in a year, Gopher football team plays 7 home games and Minnesota Vikings play 8 regular season games and 2 preseason games; each of which occupies the stadium for 6 hours each.
The total number of games to be played in the stadium in a year is, (7 + 8 + 2) = 17. So the total amount of hours for which the stadium would be occupied is, 17 * 6 hours = 102 hours.
So, the sea utilization for the stadium in a year would be, (102/5475) * 100% = 1.86%.
If the occupancy rate to be reached 5%, then we suppose that the total hours for which the stadium is occupied be ‘x’.
So, we can write,
(x/5475) * 100% = 5%
So, in order to reach this amount of hours to be utilized, the number of games of 6 hours each that need to be played would be, (274/6) = 46 (approx.)
The total number of orders being processed in one day is 350, and for each of the order the average processing time is 10 working days. So we can say that after 10 days the agent can process 350 orders together in one day.
So, the average number of orders being processed in 1 day would be, (350/10) = 35.
Now after the up-gradation of processing technology, one software reduces the average processing time from 10 hours to 8.5 hours.
So, after this up-gradation, the new amount of average processing order per day would be, (350/8.5) = 41 (approx.)
On the other hand, the other software reduces the processing time from 10 hours to 7 hours. So, the average number of orders being processed with this new software would be, (350/7) = 50.
With this up-gradation of software, the average number of orders being processed increases, which leads to higher profit for the agent; as he would now be able to process more orders in a given year with this new technology; and more orders mean more profit. So, the agent would be optimized if he adopt the new technology.
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