Final answer:
Montana Corp. should recognize a total of $27,250 in revenue for the year 2021, calculated by combining the prorated fixed fee of $25,000 for six months of service with the expected variable bonus of $2,250 using the expected value method.
Step-by-step explanation:
The question you asked is about revenue recognition for a contract using the expected value method. To calculate the revenue that Montana Corp. should recognize in 2021, we start with the fixed annual fee of $50,000. Since the contract started on July 1, 2021, only six months of service, or half of the annual fee, should be recognized in 2021, which is $25,000.
The additional 15% bonus is contingent on equipment performance; Montana estimates a 30% chance that the bonus condition will be met. To find the expected value of the variable consideration, we multiply the potential bonus ($7,500, which is 15% of the fixed fee) by the probability of occurrence (30%). This amounts to an expected bonus of $2,250 for the year.
Therefore, Montana should recognize a total revenue of $27,250 for the year 2021, consisting of the prorated fixed fee and the expected value of the variable consideration.