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1. A hospital emergency room averages 50 patients per shift. A shift is 8 hours

ID: 439514 • Letter: 1

Question

1. A hospital emergency room averages 50 patients per shift. A shift is 8 hours long, and the average patient requires 20 minutes in the exam room. a. How many exam rooms should the hospital have if it wishes to maintain a 30 percent capacity cushion? b. Discuss whether you think a 30 percent capacity cushion is appropriate for a hospital emergency room. What factors would you consider when setting this cushion? 2. A fast-food restaurant averages 150 customers per hour. The average processing time per customer is 90 seconds. a. Determine how many cash registers the restaurant should have if it wishes to maintain a 10 percent capacity cushion. b. Discuss whether you think a percent capacity cushion is appropriate for a fast-food restaurant. What factors would you consider when setting the c cushion? 3. A university has demand for 10,000 classroom seats per day (one student in one class is a classroom seat). All classrooms have 50 seats, and the day is considered to be 10 hours long for scheduling purposes. Each class takes 1 hour. Determine the number of classrooms required if the university seeks to maintain a 20 percent capacity cushion.

Explanation / Answer

1)

no of patients examined in 8 hours in a exam room=8*60/20 =24

total no of patients=50
with 30%cushion
no of room reqiured=(50(1+0.3)/24) =50*1.3/24=2.7 =>3 rooms

30% cusion => 1room is for emergency


2)We have units of seconds and hours, let's convert one. 150 customers per hour and 90 seconds per customer. 90 seconds is 1.5 minutes = 1.5/60 hours = .025 hr

On the other hand, five registers is actually the right number for an average of 200 customers per hour, which is 33% greater than 150 per hour. We need to buy whole numbers of registers, and since the numbers worked out to 4.125 registers for our 10 percent cushion, there is plenty of margin when we buy five registers.     

3)

total classes in a day = 10/1 = 10

hence total seats required = 10,000/10 =1000

total classroom requird = 1200/50 = 24