Question

In: Operations Management

A project consists of two tasks. Task A is scheduled to begin at the start of...

A project consists of two tasks. Task A is scheduled to begin at the start of Week 1 and finish at the end of Week 4. Task B is scheduled to begin at the start of Week 2 and finish at the end of Week 3. The budgeted cost for Task A is $80,000, and for Task B is $40,000.

1. Creat a cost loaded for this project:

Round the number to the closest integer number and input it without "$" and ',' signs.

Cost at Week 1:

Cost at Week 2:

Cost at Week 3:

Cost at Week 4:

2. At the end of the second week Task A is 50% complete, and Task B is 25% complete. Calculate the following items:

BCWS :

BCWP :

3. What is the schedule performance index for the project at the end of the second week (Round decimal numbers to 2 decimal places. If it is less than 1, write it in the following format: 0.xx)?

4. The actual cost of the work performed at the end of the second week is $40,000. Determine the cost performance index for the project (Round decimal numbers to 2 decimal places. If it is less than 1, write it in the following format: 0.xx).

Solutions

Expert Solution

TAsk A - Start w1 and End W4

A, Each Week cost = 80,000/4 = 20,000

Task B , Start W2 and End W3, Duration 2 week

B, Each week Cost = 40,000/2 = 20,000

W1 W2 w3 W4
Task A 20000 20000 20000 20000
Task B 20000 20000
Cost 20000 40000 40000 20000

Cost

W1 = 20000

W2 = 40000

W3 = 40000

W4 = 20000

2.

At end of Week 2

Planed A Completion = 50%

Planned B completion = 50%

Planned cost of A = 40,000

Planned Cost of B = 20,000

BCWS, Budgeted cost of work schedule or also called Planned value(PV) = Planned cost of A + Planned Cost of B = 40,000+20,000 = 60,000

Actual completion of A = 50%

Actual Completion of B = 25%

So, Budgeted cost for work performed (BCWP) also known as Earned value = Budgest cost of work performed

Budgest cost of work performed , A= 50%*80000 = 40,000

Budgest cost of work performed,B = 25%*40000 = 10,000

Total BCWP = 50,000

3. Schedule Performance Index ,SPI =BCWP/ BCWS = EV/PV = 50,000/60,000 = 5/6 = 0.833

4. Actual Cost of work performed in w2,AC = 40,000

Cost Performance Index, CPI = BCWP/Actual cost = EV/AC =50,000/40000= 5/4 = 1.25


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