HW5 - #4 Lifetime of A is exponential with mean = 1 year...

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Joel Avery OM 311 HW#5 #1 a) 1 / alpha = (N + 1 ) / 2….alpha = .0055 b) N = 12 #2 a) July = (.60)(15) + (.30)(16) + (.10)(12) = 15 b) 14.33 c) (.2 x 15) + (.8 x 13) = 13.4 #3 Week Red Socks MA(4) AD Gold Socks MA(4) AD 1 1000 1000 2 1013 1063 3 1078 1111 4 1082 1155 5 1140 1043.25 96.75 1210 1082.25 127.75 6 1239 1078.25 160.75 1210 1134.75 75.25 7 1295 1134.75 160.25 1270 1171.5 98.5 8 1309 1189 120 1335 1211.25 123.75 9 1347 1245.75 101.25 1425 1256.25 168.75 10 1297.5 1310 MAD 127.8 MAD 118.8 a) 1310 b) 1297.5 c) MADgold=118.8, MADred=127.8 d) 1.28 = (Amt Stocked - 1310) / (1.25 x 118.8) Amount Stocked = 1501 gold socks e) 1.28 = (Amt Stocked - 1297.5) / (1.25 x 127.8) Amount Stocked = 1502 red socks f) 1.28 = (Amt Stocked - 2607.5) / (1.25 x 246.6) Amount Stocked = 3002.06 white socks (or 3003 white socks) 1501 + 1502 = 3003….they are the exact same because all we did was combine them by combining the MAD and week 10 forecast.
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Unformatted text preview: #4 Lifetime of A is exponential with mean = 1 year (lambda=1) Lifetime of B is exponential with mean = 1.5 years (lambda = 1 / 1.5) a) Group 1 Group 2 Comp A Comp B Maximum (in years) 1 0.31 0.69-0.37-1.76 1.76 2 0.46 0.94-0.61-4.1 4.1 3 0.48 0.49-0.66-1.01 1.01 4 0.48 0.48-0.65-0.97 0.97 5 0.62 0.8-0.98-2.41 2.4 6 0.34 0.77-0.41-2.19 2.19 7 0.92 0.39-2.53-0.75 2.53 8 0.94 0.76-2.88-2.12 2.88 9 0.44 0.46-0.57-0.93 0.93 10 0.82 0.53-1.71-1.14 1.71 11 0.09 0.43-0.09-0.84 0.84 12 0.36 0.41-0.45-0.8 0.8 13 0.77 0.17-1.45-0.28 1.45 14 0.21 0.15-0.23-0.25 0.25 15 0.1 0.74-0.1-2 2 16 0.29 0.67-0.34-1.65 1.65 17 0.31 0.37-0.37-0.7 0.7 18 0.61 0.81-0.93-2.52 2.52 19 0.87 0.18-2.02-0.31 2.02 20 0.51 0.86-0.72-2.92 2.92 1.78 b) See Table Above c) Average of maxiumum = 1.78 years...
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HW5 - #4 Lifetime of A is exponential with mean = 1 year...

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