Final answer:
The gross profit recognized by Roebling Construction for the bridge contract in the fiscal year ended May 31, 2016, is $2,000,000 by using the percentage of completion method.
Step-by-step explanation:
The question is asking to calculate the gross profit recognized by Roebling Construction in the fiscal year ended May 31, 2016, for a bridge construction contract. Gross profit on a contract can be calculated using the percentage of completion method, which recognizes revenue based on the progress of the construction.
First, we determine the percentage of completion by dividing the actual costs to date by the sum of actual costs to date plus estimated costs to complete. For 2016, the actual costs to date were $6,000,000, and the estimated costs to complete were $12,000,000, giving us a completion percentage of 6,000,000 / (6,000,000 + 12,000,000) which is 1/3, or approximately 33.33%.
Next, we calculate the total estimated revenue using the contract amount, which is $24,000,000. By May 31, 2016, 33.33% of this contract is complete, so Roebling Construction would recognize 33.33% of $24,000,000, which is $8,000,000 in revenue. The gross profit is then the recognized revenue minus the actual costs incurred to date. Therefore, $8,000,000 (recognized revenue) - $6,000,000 (actual costs to date) equals a gross profit of $2,000,000.
Thus, the gross profit recognized in the fiscal year ended May 31, 2016, is $2,000,000.