Indiana Co. began a construction project in 2021 with a contract
price of $164 million to be received when the project is completed
in 2023. During 2021, Indiana incurred $30 million of costs and
estimates an additional $83 million of costs to complete the
project. Indiana recognizes revenue over time and for this project
recognizes revenue over time according to the percentage of the
project that has been completed.
In 2022, Indiana incurred additional costs of $50 million and
estimated an additional $37 million in costs to complete the
project. Indiana (Do not round your percentage
calculated):
A.) Recognized $47.00 million gross profit on the project in 2022.
B.) Recognized $18.60 million gross profit on the project in 2022.
C.) Recognized $9.00 million gross profit on the project in 2022.
D.) Recognized $45.50 million gross profit on the project in 2022.
In 2021, they have expended $30 million and recognized revenue of 30/(30+83)% of $164 million; that is, $43.5392 million.
In 2022, they have expended additional $50 million, and recognized a revenue of [((30+50)/(30+50+37)% of $164 million) - $43.5392 million] = $112.1367 million - $43.5392 million = $68.5969 million; leading to a gross profit of $18.5969 million [being $68.5969 - $50 million]. This can be rounded up to $18.60 million.
Therefore the correct option is B) Recognized $18.60 million gross profit on the project in 2022.
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