Question

The Shady Farm Milk Company can process milk at a fixed rate of 7,200 gallons/hour. The company’s clients request 91,000 gallons of milk over the course of one day. This demand is spread out uniformly from 8 a.m. to 6 p.m. The company starts producing at 8 a.m. and continues to work until all of the demand has been satisfied. At noon, how many gallons of milk are in the queue to be processed?

Answer 1

62,200 gallons of milk are still at the queue to be processed by noon

Step-by-step explanation:

Step 1: Determine quantity of milk processed by noon

Quantity of milk=processing rate per hour×number of hours

where;

processing rate=7,200 gallons/hour

number of hours=8 am-noon, 12-8=4 hours

replacing;

Quantity of milk=(7,200×4)=28,800 gallons

The quantity of milk processed by noon=28,800 gallons

Step 2: Determine total quantity of order

Total quantity=91,000

Step 3: Determine remaining quantity to be processed at noon

Remaining quantity=total quantity-quantity already processed by noon

where;

total quantity=91,000

quantity already processed by noon=28,800

replacing;

Remaining quantity=(91,000-28,800)=62,200 gallons

62,200 gallons of milk are still at the queue to be processed by noon