Final answer:
To calculate the labor hours, divide the volume of 82,019 by the TPH rate of 56.4 which gives approximately 1453.9 hours. Option (A) 1,451 is the closest to this value, although it does not match exactly due to possible rounding differences.
Step-by-step explanation:
The question involves calculating the total labor hours needed based on tons per hour (TPH) and the volume. To calculate the labor hours required, we divide the total volume by the TPH rate, and then convert the result into hours if it's not already in that unit.
Step 1: Determine the TPH rate and the volume. The TPH is 56.4 and the volume is 82,019.
Step 2: Calculate labor hours by dividing the volume by TPH to get the time in hours: \(\text{Labor Hours} = \frac{\text{Volume}}{\text{TPH}} = \frac{82019}{56.4}\) which equals approximately 1453.9 hours. When we look at the options provided: (A) 1,451, (B) 1,654, (C) 1,857, (D) 2,060, none of the choices exactly match 1453.9. However, the closest option is 1,451, which seems to have been rounded differently.
In this scenario, it's possible that there may be a typo in the options or the question intends rounding to a different precision. The closest answer we have from the options is (A) 1,451 but it should be noted that according to our calculations the exact number is 1453.9 hours.