On April $1{?}^{st},$ Bob the Builder entered into a contract of one$-$month duration to build a barn for Nolan. Bob is guaranteed to receive a base fee of $$5,000$ for his services in addition to a bonus

depending on when the project is completed. Nolan created incentives for Bob to finish the barn as soon as he can without jeopardizing the structural integrity of the barn. Nolan offered to

pay an additional $30\%$ of the base fee if the project finished $2$ weeks early and $10\%$ if the project finished a week early. The probability of finishing $2$ weeks early is $30\%$ and the probability of

finishing a week early is $60\%.$

What is the expected transaction price if Bob estimates variable consideration as the most likely amount?

Multiple Choice

$$4,750$

$$5,500$

$$5,000$

$$5,750$