A. Kristen runs a candy factory. Her employees work an eight-hour shift during t

Question

A.

Kristen runs a candy factory. Her employees work an eight-hour shift during the day and a six hour shift during the evening. The day shift has an average capacity utilization of 93% while the evening shift uses 90% of its capacity on average. Kristen does not run a third shift. What is the average capacity utilization of the candy factory?

B.

A patient arrives at an emergency room and must go through two tasks before he can either see a physician or be seated and wait to be called and taken to a room for treatment. The first step is triage where his vital signs are taken and the severity of his problem is assessed by a triage nurse. If a patient is considered to have a minor problem or require acute care, he is directed to the check-in desk where his contact information and health insurance are verified, and where a co-payment is typically collected. Triage requires 15 minutes per patient and check-in requires 5 minutes per patient. The emergency room is open 24 hours per day. How many patients can be processed at this initial stage of an emergency room visit in a 24-hour day?

C.

Ann's cafe lattes require 2 oz. of espresso and 12 oz. of milk to make an 8 oz. latte. She can't heat the milk any higher than 140 degrees because higher temperatures would burn the milk, making it unusable and requiring the milk to be thrown out. If Ann burns 24 oz. of milk and has to use 624 ounces of milk to make 50 8 oz. lattes, what is the yield of her latte-making process?

Explanation / Answer

Part A

overall Capacity utilization will depend on the utilization for full 24 hours. As there is no production in 10 hrs, caapcity utilization for 10 Hrs is taken as 0

therefore overall Capacity utilization=(8*0.93+6*0.9+10*0)/24=53.5%

part B

A patient in emergency spends 15 min in Triago and then moves to check-in for 5 min. Once in steady state, check- in counter will wait for 10 min before the next patient from emergency. So, here time spend at check-in counter doesnt matter as long as it is less than 15 min.

So the number of patients which can be processed in this initial process will depend on 15 min time they spend in Triago.

in 15 min, 1 patient completes the initial process, so the number of patients processed in 24 hrs=24*60/15=72 patients

Part C

Yield =output/input=508/624=81.4%

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