1. Long-term averages TheMerger and Acquisition department of a global bank has been experiencing a verystable workload over the last few years. On average, the department completes75 deals per...

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1. Long-term averages




The Merger and Acquisition department of a global bank has been experiencing a very stable workload over the last few years. On average, the department completes 75 deals per year with an average deal completion time of 1.8 months.


Q1.1 - How many deals on average are active at any point in time?









Q1.1 - How many deals on average are active at any point in time? Deals:




2. Capacity and Queues




Mango Electronics Inc. is a Fortune 500 company that develops and markets innovative consumer electronics products. The development process proceeds as follows. Mango researches new technologies to address unmet market needs. Patents are filed for products that have the requisite market potential. Patents are granted for a period of 20 years starting from the date of issue. After receiving a patent, the patented technologies are then developed into marketable products at four independent development centers. Each product is only developed at one center. Each center has all the requisite skills to bring any of the products to market. However, any single center has the capacity to only work at one patent at a time. It is assumed that development centers take on development patents on a first-come first-serve basis. Mango is granted a patent every 7 months on average with standard deviation of 7 months. The average development process lasts 25 months with standard deviation of 50 months.



Q2.1 - What is the utilization of Mango’s development facilities?










Q2.1 - What is the utilization of Mango’s development facilities? Utilization:





Q2.2 - How long does it take an average technology to go from filing a patent to being launched in the market as a commercial product?










Q2.2 - How long does it take an average technology to go from filing a patent to being launched in the market as a commercial product? Months:





Q2.3 - How many years of patent life are left for an average product launched by Mango Electronics?










Q2.3 - How many years of patent life are left for an average product launched by Mango Electronics? Years:




Individual Assignment 1 ()


3. Queue Buildup




A car park in the vicinity of a football field experiences high demand during league games. During such days, cars begin arriving 4 hours and 30 minutes before the game begins and the last vehicle arrives exactly when the game starts. Predictably, a larger inflow of cars is observed in the period between 1h before the game and 30 minutes before the game begins. During this period, cars arrive at a rate of 130 cars per hour. During the rest of the time, cars arrive at 80 vehicles per hour. Due to technical limitations of the ticketing machines, the car park can process a maximum of 90 incoming cars per hour. The car park has an abundance (unlimited amount) of space and the flow of cars is assumed continuous/fluid and deterministic. Ignoring any unpredictable variability in both arrivals and processing times, construct a build-up diagram to answer the following questions:


Q3.1 - What is the length of the queue of cars when it is largest?










Q3.1 - What is the length of the queue of cars when it is largest? Cars:




Q3.2 - When does the last vehicle enter the car park? (after the game starts)









Q3.2 - When does the last vehicle enter the car park? (after the game starts) Minutes:


Answered Same DayDec 20, 2021

Answer To: 1. Long-term averages TheMerger and Acquisition department of a global bank has been experiencing a...

Robert answered on Dec 20 2021
113 Votes
The Merger and Acquisition department of a global bank has been experiencing a very stable
workloa
d over the last few years. On average, the department completes 75 deals per year with an
average deal completion time of 1.8 months.
Q1.1 - How many deals on average are active at any point in time?
Solution:
Throughput (R) = 75 deals per year = 6.25 deals per month
Flow time (T) = 1.8 months
Using Little’s law
Work in process inventory
I= R*T = 6.25* 1.8 = 11.25 deals.
Problem 2.
Mango Electronics Inc. is a Fortune 500 company that develops and markets innovative
consumer electronics products. The development process proceeds as follows.
Mango researches new technologies to address unmet market needs. Patents are filed for
products that have the requisite market potential. Patents are granted for a period of 20 years
starting from the date of issue. After receiving a patent, the patented technologies are then
developed into marketable products at four...
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