In this type of contract, for every dollar the contractor can reduce the costs below the target cost, the savings will be shared by the contractor and the owner based on the share ratio.
Very important number needs to be calculated to understand the allowed boundaries of the cost sharing, PTA. Please read wikipedia or PMBOK for their great explanation of the point of total assumption (PTA): http://en.wikipedia.org/wiki/Point_of_total_assumption. In simple words, any cost above this number will reduce contractor’s profit.
The formula to calculate PTA:
PTA = ((Ceiling Price – Target Price)/buyer’s Share Ratio) + Target Cost
Now, back to our numbers:
pta = (160,000 – 145,000)/.8 + 130,000 = 148,750
So, since the total cost @pta = 148,750
over run @pta = 18,750
buyer share = 15,000
seller share = 3,750
Note, the cost up to that point was agreed to split between parties.
If the total cost would be equal pta, then seller would have a profit = target profit – sellers overrun share = 15,000 – 3,750 = 11,250
Now, with the total cost 150,000—every dollar above cost 148,750 will be taken directly from the sellers profit. So, the final profit will be = 11,250 – (150,000-148,750) = 10,000
So, the correct answer is a.