Final answer:
Under the percentage-of-completion method, the year-end balance sheet would show $1 million in net profit related to this contract.
Step-by-step explanation:
Using the percentage-of-completion method, we recognize revenue and expenses as we make progress on the construction project.
To determine what would appear in the year-end balance sheet, we need to calculate the percentage of completion.
First, we calculate the total estimated costs of the project, which are $3 million incurred during the first year plus $7 million estimated costs to complete, resulting in a total of $10 million.
Next, we calculate the percentage of completion by dividing the costs incurred during the first year by the total estimated costs: $3 million / $10 million = 30%.
Based on the percentage of completion, we can determine the revenue to be recognized. The total contract price is $16 million, so 30% of that is $4.8 million.
The expenses incurred during the first year were $3 million, so the gross profit is $4.8 million - $3 million = $1.8 million.
However, since only $1 million was collected before year-end, the net profit recognized on the balance sheet would be $1 million.
Therefore, under the percentage-of-completion method, the year-end balance sheet would show $1 million in net profit related to this contract.