Three recent college graduates have formed a partnership and have opened an advertising firm.Their first project consists of activities listed in the following table.a. Draw the precedence diagram.b. What is the probability that the project can be completed in 24 days or less? In 21 days or less?c. Suppose it is now the end of the seventh day and that activities A and B have been completedwhile activity D is 50 percent completed. Time estimates for the completion of activity D are5, 6, and 7. Activities C and H are ready to begin. Determine the probability of finishing theproject by day 24 and the probability of finishing by day 21.TIME IN DAYSActivityImmediatePredecessor Optimistic Most Likely PessimisticA — 5 6 7B — 8 8 11C A 6 8 11D — 9 12 15E C 5 6 9F D 5 6 7G F 2 3 7H B 4 4 5I H 5 7 8End E, G, Id. The partners have decided that shortening the project by two days would be beneficial, as longas it doesn’t cost more than about $20,000. They have estimated the daily crashing costs for eachactivity in thousands, as shown in the following table. Which activities should be crashed, andwhat further analysis would they probably want to do?Activity First Crash Second CrashC $ 8 $10D 10 11E 9 10F 7 9G 8 9H 7 8I 6 8
Critical Path Method
The critical path is the longest succession of tasks that has to be successfully completed to conclude a project entirely. The tasks involved in the sequence are called critical activities, as any task getting delayed will result in the whole project getting delayed. To determine the time duration of a project, the critical path has to be identified. The critical path method or CPM is used by project managers to evaluate the least amount of time required to finish each task with the least amount of delay.
Cost Analysis
The entire idea of cost of production or definition of production cost is applied corresponding or we can say that it is related to investment or money cost. Money cost or investment refers to any money expenditure which the firm or supplier or producer undertakes in purchasing or hiring factor of production or factor services.
Inventory Management
Inventory management is the process or system of handling all the goods that an organization owns. In simpler terms, inventory management deals with how a company orders, stores, and uses its goods.
Project Management
Project Management is all about management and optimum utilization of the resources in the best possible manner to develop the software as per the requirement of the client. Here the Project refers to the development of software to meet the end objective of the client by providing the required product or service within a specified Period of time and ensuring high quality. This can be done by managing all the available resources. In short, it can be defined as an application of knowledge, skills, tools, and techniques to meet the objective of the Project. It is the duty of a Project Manager to achieve the objective of the Project as per the specifications given by the client.
Three recent college graduates have formed a
Their first project consists of activities listed in the following table.
a. Draw the precedence diagram.
b. What is the probability that the project can be completed in 24 days or less? In 21 days or less?
c. Suppose it is now the end of the seventh day and that activities A and B have been completed
while activity D is 50 percent completed. Time estimates for the completion of activity D are
5, 6, and 7. Activities C and H are ready to begin. Determine the probability of finishing the
project by day 24 and the probability of finishing by day 21.
TIME IN DAYS
Activity
Immediate
Predecessor Optimistic Most Likely Pessimistic
A — 5 6 7
B — 8 8 11
C A 6 8 11
D — 9 12 15
E C 5 6 9
F D 5 6 7
G F 2 3 7
H B 4 4 5
I H 5 7 8
End E, G, I
d. The partners have decided that shortening the project by two days would be beneficial, as long
as it doesn’t cost more than about $20,000. They have estimated the daily crashing costs for each
activity in thousands, as shown in the following table. Which activities should be crashed, and
what further analysis would they probably want to do?
Activity First Crash Second Crash
C $ 8 $10
D 10 11
E 9 10
F 7 9
G 8 9
H 7 8
I 6 8
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