Project Management-2019

Question 2: Work Breakdown Structure of a project is given below:

Activity	Immediate Predecessors	Activity Time in Days
A	--	35
B	--	23
C	--	15
D	A	15
E	A	10
F	B	25
G	E, F	30
H	D	20
I	B	18
J	C	20
K	I, J	10
L	K	22

a) How much free float is available for activity D?                                                                     

b) Activity J takes 4 days more than its estimated time and the activity K also takes 3 more days than what it should have taken. What is the impact on project completion time?                          

c) Another activity M gets introduced which can be started after E is over and it is immediate predecessor to L along with K. It takes 20 days. What is the project completion time with this change?                                                                                                                                                

Answer:

Answer for (a) part is available at https://www.youtube.com/watch?v=Rcwe8zbnNhI. The correct answer is 0.

For (b) and (c), check the video at
https://drive.google.com/open?id=1gljYYmSuCbbX4F7CEs0p04lnkKc4KQSM

Simulation-2019

Probability of having a claim in a motor insurance product is 0.2. We plan to simulate the scenario to understand the system better. For this, random numbers are generated between 0 and 1, and are associated with the system variable that can have two possible values -- Claim or No claim.

a) Write a plan to associate random numbers with claim or no claim.                                      

b) Probability that claim amount exceeds Rs. 60000 in the same insurance product is 0.05. Write a plan to associate random numbers with no claim, low claim and high claim. Claims exceeding Rs 60000 are considered high claim.        

Answer available at https://drive.google.com/open?id=1tcgm4dFjnvNmnm9d0KQbm8ICBnP9mC7z

LP-2019

An organization produces paints of two qualities A and B. Profit on A and B are given as Rs 500/ litre and Rs. 800/ litre respectively. These paints are made using three important Chemicals - L, M and N. Their requirements in Paint A are given as 30, 40 and 25 units per litre respectively. Corresponding numbers for Paint B are 50, 30 and 20. These chemicals are available in 1500, 1200 and 1000 units per day.

a) Which chemical is available in abundance (Don't restrict the optimum product mix)?     

b) It is decided to reduce the availability of this chemical. By how much quantity it can be reduced so that there is no impact on the feasible solutions?

Answer available at https://drive.google.com/open?id=1VqU28O7_m2It2jFDkv8wMjoPR-XCtTOi

Clustering-2019

Five persons a, b, c, d and e have their age as 22, 24, 27, 21 and 35 years respectively. They are clustered in two clusters based on their age. Another person f aged 26 years join them and gets clustered with the group. Cluster of which of the existing persons changes?

Answer available at https://drive.google.com/open?id=1fd81DXvuFDo1E04BqaTnFSikILFcqwtV