Question

In: Operations Management

The Shady Farm Milk Company can process milk at a fixed rate of 5100 gallons/hour. The...

The Shady Farm Milk Company can process milk at a fixed rate of 5100 gallons/hour. The company’s clients request 94000 gallons of milk over the course of one day. This demand is spread out uniformly from 8 a.m. - 6 p.m. The company starts producing at 8 a.m. and continues to work until all of the demand has been satisfied.
(Round your answer to 2 decimal places.)
How long does the client requesting milk at 6 p.m. have to wait to have their demand satisfied? hours

Solutions

Expert Solution

Waiting time for client at 6 p.m. = Available hours till 6 p.m. * (Demand per hour \ Capacity per hour – 1)

Here,

Available hours till 6 p.m. = 10 hours

Demand per hour = Gallons demanded per day \ Available hours in a day

                             = 94000 \ 10

                             = 9400 gallons

Capacity per hour = 5100 gallons

So, Waiting time for client at 6 p.m. = 10 * ( 9400\5100 – 1)

                                                         = 8 hours (approximately)


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