A manufacturer of custom paint and finishing products has an order for 10,000 gallon cans of a particular sealer. The filling machine will require a total of 120 hours out of 151 hours available to fulfill this order. Cleaning the filling machine between production runs takes 1.2 hours. What is the minimum batch size for the order?
A) 31
B) 322.58
C) 388
D) 37.2

Question

Quizplus · Accepted Answer

The total available time for production is 151 hours, and the filling machine requires 120 hours to complete the order, leaving 31 hours for cleaning. Since cleaning takes 1.2 hours per batch, the number of batches can be calculated as 31 / 1.2 = 25.83 batches. To fulfill the order in the minimum number of batches, you would need to round up, meaning you need at least 26 batches. Therefore, the minimum batch size is 10,000 gallons / 26 = 384.62 gallons per batch. The closest answer provided is 388 gallons, making option C the correct choice.

A Manufacturer of Custom Paint and Finishing Products Has an Order