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A project to build a new bridge seems to be going very well since the project is well ahead of schedule, and costs seem to be running very low

Accounting Dec 09, 2020

A project to build a new bridge seems to be going very well since the project is well ahead of schedule, and costs seem to be running very low. A major milestone has been reached where the first two activities have been totally completed and the third activity is 55% complete. The planners were only expecting to be 46% through the third activity at this time. The first activity involves prepping the site for the bridge. It was expected to cost $1,330,000 and it was done for only $1,295,000. The second activity was the pouring of the concrete. This was expected to cost $11,000,000 but was actually done for $11,200,000. The third and final activity is the actual construction of the bridge superstructure. This was expected to cost a total of $8,550,000. To date they have spent $6,900,000 on the superstructure. Calculate the cost and schedule variance and the schedule and cost performance indexes for the project.

Expert Solution

There are total of three activities namely Activity 1, Activity 2 and Activity 3.

The budgeted cost of each activity is as follows:

Activity 1 = $1330000

Activity 2 = $11000000

Activity 3 = $393300 i.e., 46% of $8550000

Therefore, the budgeted cost of the scheduled work (BSW) will be:

BSW=$(1330000+11000000+393300)=$12723300BSW=$(1330000+11000000+393300)=$12723300

Also, the budgeted cost the performed work is as follows:

Activity 1 = $1330000

Activity 2 = $11000000

Activity 3 = $4702500 i.e., 55% of $8550000

Therefore the budgeted cost of the performed work (BPW) is as follows:

BPW=$(1330000+11000000+4702500)=$17032500BPW=$(1330000+11000000+4702500)=$17032500

On the other hand the actual cost paid (ACP) for the performed work is as follows:

ACP=(1295000+11200000+6900000)=$19395000ACP=(1295000+11200000+6900000)=$19395000

Schedule Variance (SV) is calculated as:

SV=BPW−BSW=$(17032500−12723300)=$4309200SV=BPW−BSW=$(17032500−12723300)=$4309200

Schedule Performance Index (SPI) is calculated as:

SPI=BPWBSW=1703250012723300=1.33SPI=BPWBSW=1703250012723300=1.33

Cost Performance Index (CPI) is calculated as:

CPI=BPWAC=1703250019395000=0.878

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