Question

53,286 packages manifested for today's plan. After 3 hours into shift, you realize your Flow Per Hour has not been meeting your goal. Your actual Flow Per Hour has been 7,435 thus far. If your total Belt Run Time is 6.88 hours, what does your adjusted FPH need to be to process all remaining volume by the end of shift? (Round decimals up)

Answer 1

To meet the goal, the adjusted Flow Per Hour (FPH) must be calculated by dividing the remaining number of packages to be processed by the remaining Belt Run Time. After processing for 3 hours, 7,983 packages per hour must be processed in the remaining 3.88 hours to complete all packages.

Step-by-step explanation:

The student is asking how to calculate the adjusted Flow Per Hour (FPH) needed to process the remaining volume of packages by the end of the shift. The total Belt Run Time is given as 6.88 hours, and the current FPH is 7,435. To find the adjusted FPH, one must first determine the number of packages processed so far, and then calculate how many packages are left to process. This amount is then divided by the remaining Belt Run Time to find the necessary FPH to meet the goal.

To calculate the number of packages already processed, we multiply the actual FPH by the hours already worked:

7,435 packages/hour × 3 hours = 22,305 packages.

Subtracting this from the total manifests:

53,286 total packages - 22,305 packages = 30,981 remaining packages.

With 6.88 hours in total and 3 hours already passed, there are 3.88 hours left:

6.88 total hours - 3 hours = 3.88 hours remaining.

To find the adjusted FPH:

30,981 remaining packages ÷ 3.88 hours = 7,982.99, which should be rounded up to 7,983 packages/hour to meet the processing goal.