Final answer:
The expected transaction price with variable consideration for Bob the Builder's contract, taking into account the base fee and the expected bonuses for early completion, is $5,452.
Step-by-step explanation:
To calculate the expected transaction price with variable consideration estimated as the expected value for Bob the Builder's contract to build a barn, we need to consider the probabilities of finishing the project early and the respective bonuses.
The base fee is $4,700. The additional bonuses are 20% of the base fee for finishing 2 weeks early and another 20% for finishing 1 week early.
The expected bonus for finishing 2 weeks early: 20% of $4,700 = $940, and the probability is 20%, so the expected value is 0.20 * $940 = $188.
The expected bonus for finishing 1 week early: 20% of $4,700 = $940, and the probability is 60%, so the expected value is 0.60 * $940 = $564.
Now, we add the expected bonuses to the base fee to find the expected transaction price: $4,700 + $188 + $564 = $5,452.
Thus, the expected transaction price with variable consideration is $5,452, making the correct answer (a) $5,452.