Help on calculation question

As you evaluate a vendor bid of $350,000, you take into consideration the probability an impact of any delays. You determine that there is a 65% probability that the vendor will come in behind schedule at a cost of $125,000 and there is a 35% probability that the vendor will come in early for a saving of $50,000. What is the total value of the bid ?

A. $448,750

B. $63,750

C. $413,750

D. $286,250

Answer is C.
How to derive the answer?

because I am getting 43750 in my calci

The answer confirmed is 413750 for sure. Detail calculation can be seen from the replied.

Expected monetary value (EMV) =probability * impact.
Delay value = 125000*65/100 = 81250
Early value = 50000*35/100 = 17500
difference = 63750
Actual Vendor Bid = $350,000 + 63750 = $413,750

acurtpmp's picture

It is basically a decision tree analysis. Here is the computation.

Since you have a vendor bid of $350,000 this is your base.

Then you do your PxI...

You have a chance of a cost overun on the bid of $125,000. That means this risk will add to the bid. Next you will have a chance of the risk being an exploit by the bid coming under $50,000. So with your probablility the calculations will look like this

$350,000 + (.65 x $125,000) overun - ( .35 x $50,000)savings = $413,750.

The wording at the end of the question says...WHAT IS THE TOTAL BID is the logic why you do the math on everything.

Hope that helps.