Final answer:
To compute the transaction price, calculate the expected performance bonus using the provided probabilities of completion and sum it with the contract price. The calculation gives an expected performance bonus of $48,760 and a transaction price of $260,760 for Concrete Always's contract with Dakota Golf Club.
Step-by-step explanation:
To determine the transaction price for the agreement between Concrete Always and Dakota Golf Club, it is necessary to calculate the expected performance bonus using probability estimations provided by Mark Heun, the president of Concrete Always. The formula to calculate the transaction price is:
Transaction Price = Contract Price + (Probability of On Time Completion x On Time Bonus) + (Probability of One Week Late x One Week Late Bonus) + (Probability of Two Weeks Late x Two Week Late Bonus)
Given the data:
- Contract Price = $212,000
- Performance Bonus if On Time = $42,400
- Bonus increase per week = $10,600
- Probability On Time = 55%
- Probability One Week Late = 30%
- Probability Two Weeks Late = 15%
We calculate the expected bonus:
- On Time Bonus = 55% * $42,400 = $23,320
- One Week Late Bonus = 30% * ($42,400 + $10,600) = 30% * $53,000 = $15,900
- Two Weeks Late Bonus = 15% * ($42,400 + $10,600 + $10,600) = 15% * $63,600 = $9,540
Summing these values gives us the expected performance bonus. The total expected performance bonus is $23,320 (On Time) + $15,900 (One Week Late) + $9,540 (Two Weeks Late) = $48,760.
Thus, the transaction price Concrete Always should compute is:
Transaction Price = $212,000 (Contract Price) + $48,760 (Expected Performance Bonus) = $260,760.