Fig16-06_XmasTree_

Fig16-06_XmasTree_ - SINGLE PERIOD INVENTORY MODEL -...

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Unformatted text preview: SINGLE PERIOD INVENTORY MODEL - CHRISTMAS TREE PROBLEM PROBLEM: Noble Fir Parameter Values: Mean of Demand Distribution: mu = 2000 Stand. Deviation of Demand Distribution: sigma = 500 Cost per Item Procured: c = 3.00 0.50 1.00 9.00 Optimal Values: Optimal Order Quantity: Q* = 2215 Expected Demand: mu = 2000 Total Expected Cost: TEC(Q*) = $7,910.35 Expected Shortages: B(Q*) = 110.15 Probability of Shortage: P[D>Q*] = 0.33 Additional Cost for Each Leftover Item Held: h E = Penalty for Each Item Short: p S = Selling Price per Unit: p R = A B C D E F G 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 D L(D ) 0 .0 0 .39 8 9 0 .0 1 0 .39 4 0 0 .0 2 0 .38 9 0 0 .0 3 0 .38 4 1 0 .0 4 0 .379 3 0 .0 5 0 .374 0 .0 6 0 .36 9 7 0 .0 7 0 .36 4 9 0 .0 8 0 .36 0 2 0 .0 9 0 .35 6 0 .10 0 .35 0 9 0 .1 0 .34 6 4 0 .12 0 .38 14 0 .13 0 .3 73 0 .14 0 .3 28 0 .15 0 .328 4 0 .16 0 .324 0 0 .17 0 .319 7 0 .18 0 .315 4 0 .19 0 .31 1 0 .20 0 .30 6 9 0 .21 0 .30 27 0 .2 0 .29 8 6 0 .23 0 .29 4 0 .24 0 .29 0 4 0 .25 0 .28 6 3 0 .26 0 .28 24 0 .27 0 .278 4 0 .28 0 .274 5 0 .29 0 .270 6 0 .30 0 .26 8 0 .31 0 .26 30 0 .32 0 .25 9 2 0 .3 0 .25 5 0 .34 0 .25 18 0 .35 0 .24 8 1 0 .36 0 .24 5 0 .37 0 .24 0 9 0 .38 0 .2374 0 .39 0 .23 9 0 .4 0 0 .230 4 0 .4 1 0 .2 70 0 .4 2 0 .2 36 0 .4 3 0 .2 0 3 0 .4 0 .216 9 0 .4 5 0 .2137 0 .4 6 0 .210 4 0 .4 7 0 .20 72 0 .4 8 0 .20 4 0 0 .4 9 0 .20 9 0 .5 0 0 .19 78 0 .5 1 0 .19 4 7 0 .5 2 0 .19 17 0 .5 3 0 .18 7 0 .5 4 0 .18 5 7 0 .5 0 .18 28 0 .5 6 0 .179 0 .5 7 0 .17 1 0 .5 8 0 .174 2 0 .5 9 0 .1714 0 .6 0 0 .16 8 7 0 .6 1 0 .16 5 9 0 .6 2 0 .16 3 0 .6 3 0 .16 0 6 0 .6 4 0 .15 8 0 0 .6 5 0 .15 4 0 .6 0 .15 28 0 .6 7 0 .15 0 3 0 .6 8 0 .14 78 0 .6 9 0 .14 5 3 0 .70 0 .14 29 0 .71 0 .14 0 5 0 .72 0 .138 1 0 .73 0 .135 8 0 .74 0 .13 4 0 .75 0 .1312 0 .76 0 .128 9 0 .7 0 .126 7 0 .78 0 .124 5 0 .79 0 .12 3 0 .8 0 0 .120 2 0 .8 1 0 .1 8 1 0 .8 2 0 .1 6 0 0 .8 3 0 .1 4 0 0 .8 4 0 .1 20 0 .8 5 0 .1 0 0 .8 6 0 .10 8 0 0 .8 7 0 .10 6 1 0 .8 0 .10 4 2 0 .8 9 0 .10 23 0 .9 0 0 .10 4 0 .9 1 0 .0 9 8 6 0 0 .9 2 0 .0 9 6 8 0 0 .9 3 0 .0 9 5 0 3 0 .9 4 0 .0 9 328 0 .9 5 0 .0 9 15 6 0 .9 6 0 .0 8 9 8 6 0 .9 7 0 .0 8 19 0 .9 8 0 .0 8 6 5 4 0 .9 0 .0 8 4 9 1 1.0 0 .0 8 3 2 1.0 1 0 .0 8 174 1.0 2 0 .0 8 0 19 1.0 3 0 .0 78 6 1.0 4 0 .0 7 16 1.0 5 0 .0 75 6 80 ....
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Fig16-06_XmasTree_ - SINGLE PERIOD INVENTORY MODEL -...

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