# Operations Management

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Operations Management – Homework Assignment 1 3.2) At the drive-through counter of a fast-food outlet, an average of 10 cars waits in line. The manager wants to determine if the length of the line is having any impact on potential sales. A study reveals that, on average, 2 cars per minute try to enter the drive-through area, but 25 percent of the drivers of these cars are dismayed by the long line and simply move on without placing orders. Assume that no car that enters the line leaves without service. On average, how long does a car spend in the drive-through line? Answer: Based on problem data we have to use Little’s Law in order to solve the problem. We have the I (average inventory) and T (average flow) and we need to…show more content…
Assume that, as before, 90 percent of all patients are Simple Prescriptions. Assume, too, that the triage nurse is 100 percent accurate in making classifications. Under the proposed plan, how long, on average, will a patient spend in the ER? On average, how long will a Potential Admit spend in the ER? On average, how many patients will be in the ER? Assume the process to be stable; that is, average inflow rate equals average outflow rate. Answer: Based on the problem description the following flow can be plotted (assumed that the triage takes 1 minute). Based on the problem description the values in green boxes are given. The values in yellow boxes were calculated based on Little’s Law formula (T = I / R). The value in blue were calculated based on the patient’s flow over the process (90% or 10% based if they are going to be prescribed or admitted on hospital). How long, on average, a patient spends in the ER equals to 55.27 minutes. Since 90% of the patients spend 53.5 minutes and 10% of the patients spend 71.2 minutes. Patients prescribed flow over the activities 1, 2, 3, 4, 5 and 6, so summing the T(min) provides us the time spent in average. The same process can be applied to calculate the time for the admitted patients that flow over activities 1, 2, 3, 4, 7 and 8. How long will a Potential Admit spend in the ER equals to 71.2 minutes. How many patients, on average, will be in the ER equals to 50.63. This value