Respuesta :
Answer:
Year 1:
3,200,000 - 2,624,000 = 576,000 gross profit
Year 2:
4,752,000 - 3,690,000 = 1,062 gross profit
Year 3:
2,048,000 - 2,074,600 = (26,600)
Explanation:
we will match the percentage of completion with the amount of revenue recognized.
Year 1:
2,624,000 / (2,624,000+ 5,576,000) = 0.32
Earned revenue : 10,000,000 x 0.32 = 3,200,000
Then, year 2:
3,690,000 / (3,690,000 + 1,886,000) = 0.661764706
Earned revenue 7,200,000 x 0.66% = 4752000
Finally year 3 we recognize the entire revenue missing
10,000,000 - 3,200,000 - 4,752,000 = 2,048,000
Since Westgate Construction does not recognize revenue over time, the percentage of completion method will be used to determine the revenue and the gross profit (loss) to be recognized in each year, as detailed below.
2021 2022 2023
Revenue to be recognized $3,200,000 $4,500,000 $2,300,000
Costs incurred for the year $2,624,000 $3,690,000 $2,074,600
Gross profit (loss) $576,000 $810,000 $225,400
Data and Calculations:
2021 2022 2023
Costs for the year $2,624,000 $3,690,000 $2,074,600
Estimated completion costs 5,576,000 1,886,000 0
Total costs $8,200,000 $8,200,000 $8,388,600
Percentage of completion 32% 45%
For 2021, the percentage of completion = 32% ($2,624,000/$8,200,000 x 100)
For 2022, the percentage of completion = 45% ($3,690,000/$8,200,000 x 100)
Revenue to be recognized:
- For 2021, the revenue to be recognized = $3,200,000 ($10,000,000 x 32%)
- For 2022, the revenue to be recognized = $4,500,000 ($10,000,000 x 45%)
- For 2023, the revenue to be recognized = $2,300,000 ($10,000,000 - $3,200,000 - $4,500,000)
Thus, the method of percentage of completion requires that the current costs are divided by the total costs (incurred and estimated to completion) to date, and then multiplied by 100.
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