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Chapte 8 Problem 3

# Chapte 8 Problem 3 - which is equal to the number of...

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Bill Frino MNMK 413P Monday, March 14, 2011 Chapter 8 Problem #3 Macon Psychiatric Institute A. Suppose patients are admitted at a rate that maintains 150 patients in residence at the clinic. What is the average recovery time per patient, and how many patients will recover per year? The average recovery time per patient is 1.5 years. T = 45/(180 – 150) = 45/30 = 1.5 Average number of patients that recover per year is 100. P/T = 150/1.5 = 100 B. Using the formula for average patient recovery time, develop an expression for N,
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Unformatted text preview: which is equal to the number of patients that recover per year as a function of P. Average number of patients that recover per year = N = P /T N = P /(45/(180 – P)) = (180 – P)P /45 = 4 P – (1/45) P 2 C. Determine the optimal number of patients for the clinic to have in residence if it is interested in maximizing the number of patients that recover per year. Using LINGO or Excel Solver we find that the maximum value of N = 180 with P = 90. The average recovery time is T = ½ year....
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