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AnalystD Demand per year 5000A Order Cost $100 v Unit Price $2 r Carrying Cost $/$/year 0.28
EOQ 1336Q 1336
TRC 748
D Demand per year 5000A Order Cost $100 v Unit Price $2 r Carrying Cost $/$/year 0.28
Quantity (in units)
Retailer Retailer
$25
500 500
1140 390
5000 5000100 $25
2 $2 0.28 0.281336 500
EOQ calculated as per the data given
Current Order qty placed by supplier
Analyst recommendation
0<Q<100 100>/=QDemand D 1200
Order Cost A $24 Unit Price v 20 19.5
Carrying Cost r 0.30v eff 19.78696337
Q 98 174
Qb 100F 50
TRC(EOQ) 24675
TRC(Qb) 24588 24426.79387
TRC(EOQ)<TRC(Qb)
Best Order Qty 98
First Order QuantityMonth Sequential Number Requirements(in units) Demand
Jan 1 200 200Feb 2 300 300Mar 3 180 180Apr 4 70 70May 5 50 50Jun 6 20 20Jul 7 10 10
Aug 8 30 30Sep 9 90 90Oct 10 120 120Nov 11 150 150Dec 12 190 190
1410 1410
A $160 r (per month) $0.02
v $5
EOQ 613
TRC 736
First Order QuantityOrder Qty Holding Qty Holding Cost Ordering Cost Period Cost
613 413 41 $160 2010 113 11 $0 11
613 546 55 $160 2150 476 48 $0 480 426 43 $0 430 406 41 $0 410 396 40 $0 400 366 37 $0 370 276 28 $0 280 156 16 $0 160 6 1 $0 1
613 430 43 $160 203881
Demand 200 300 180 70 50 20Month 1 2 3 4 5 6
1 $160 $190 $226 $247 $267 $277 2 $320 $338 $352 $367 $375 3 $350 $357 $367 $373 4 $386 $391 $395 5 $407 $409 6 $427 789
101112
A $160 r (per month) $0.02
v $5 rv(per month) 0.1
Starting inventory 0 660 360 180 110 60Replenishment 860 0 0 0 0 0Requirement 200 300 180 70 50 20
Ending Inventory 660 360 180 110 60 40
10 30 90 120 150 1907 8 9 10 11 12
$283 $304 $376 $484 $634 $843 $380 398 $461 $557 $692 $882 $377 389 $443 $527 $647 $818 $398 410 $455 $527 $632 $784 $411 420 $456 $516 $606 $739 $428 434 $461 $509 $584 $698 $437 $440.00 $458 $494 $554 $649
$443 $452 $476 $521 $597 $464 $476 $506 $563
$536 $551 $589 $636 $655
$666
Total40 30 0 460 340 190 00 0 550 0 0 0 1410
10 30 90 120 150 190 141030 0 460 340 190 0 2430
Total replenishment cost $320 Total carrying cost 243
Total replenishment plus carrying cost $563
Month Sequential Number Requirements(in units) MonthJan 1 200 1Feb 2 300 2Mar 3 180 3Apr 4 70 4May 5 50 5Jun 6 20 6Jul 7 10 7
Aug 8 30 8Sep 9 90 9Oct 10 120Nov 11 150Dec 12 190 1
1410 23
A $160 4r (per month) $0.02
v $5
EOQ 613
TRC 736
Holding cost per month 0.100
Silver MealDemand Sum Qty Order Cost Holding Cost TRCUT/T
200 200 $160 $ - $160 300 500 $160 $ 30 $95 180 680 $160 $ 66 $75 70 750 $160 $ 87 $62 50 800 $160 $ 107 $53 20 820 $160 $ 117 $46 10 830 $160 $ 123 $40 30 860 $160 $ 144 $38 First Buy90 950 $160 $ 216 $42
90 90 $160 $ - $160 120 210 $160 $ 12 $86 150 360 $160 $ 42 $67 190 550 $160 $ 99 $65 Second Buy
$320 $ 243.00 $563
Month Sequential Number Requirements(in units) MonthJan 1 200 1Feb 2 300 2Mar 3 180 3Apr 4 70 4May 5 50 5Jun 6 20Jul 7 10
Aug 8 30 1Sep 9 90 2Oct 10 120 3Nov 11 150 4Dec 12 190 5
1410 67
A $160 8r (per month) $0.02
v $5
EOQ 613
TRC 736
Holding cost per month 0.100
Least Unit CostDemand Sum Qty Order Cost Holding Cost Lot Cost Cost Per Item
200 200 $160 $ - $160 $0.800 300 500 $160 $ 30 $190 $0.380 180 680 $160 $ 66 $226 $0.332 70 750 $160 $ 87 $247 $0.329 First buy50 800 $160 $ 107 $267 $0.334
50 50 $160 $ - $160 $3.200 20 70 $160 $ 2 $162 $2.314 10 80 $160 $ 4 $164 $2.050 30 110 $160 $ 13 $173 $1.573 90 200 $160 $ 49 $209 $1.045
120 320 $160 $ 109 $269 $0.841 150 470 $160 $ 199 $359 $0.764 190 660 $160 $ 332 $492 $0.745 Second buy
$320 $ 419.00 $739
Month Sequential Number Requirements(in units) MonthJan 1 200 1Feb 2 300 2Mar 3 180 3Apr 4 70 4May 5 50 5Jun 6 20 6Jul 7 10 7
Aug 8 30 8Sep 9 90 9Oct 10 120 10Nov 11 150 11Dec 12 190 12
1410Month
A $160 1r (per month) $0.02 2
v $5 34
EOQ 613 56
TRC 736 78
Holding cost per month 0.100 910
T* 0.126869105106371 111.52 12
1 monthMonth
123456789
10
PPBDemand Order Qty Holding Cost Ordering Cost
200 200 $ - $160 $160.00 300 500 $ 30 $160 $130.00 180 680 $ 66 $160 $94.00 70 750 $ 87 $160 $73.00 50 800 $ 107 $160 $53.00 20 820 $ 117 $160 $43.00 10 830 $ 123 $160 $37.00 30 860 $ 144 $160 $16.00 First order90 950 $ 216 $160 ($56.00)
120150190
Demand Order Qty Holding Cost Ordering Cost200 860 0 160300 30180 6670 8750 10720 11710 12330 14490 90 0 160 160
120 210 12 160 148150 360 42 160 118190 550 99 160 61 second order
Demand Order Qty Holding Cost Ordering Cost200 860 1603001807050201030 14490 550 160
120
Month Sequential Number Requirements(in units) MonthJan 1 200 1Feb 2 300 2Mar 3 180 3Apr 4 70 4May 5 50 5Jun 6 20 6Jul 7 10 7
Aug 8 30 8Sep 9 90 9Oct 10 120 10Nov 11 150 11Dec 12 190 12
1410
A $160 r (per month) $0.02 $0.05
v $5
EOQ 613.19
TRC 736
Holding cost per month 0.100
T* 0.4348853820356285.22
56 months POQ
POQDemand Order Qty Holding Cost Ordering Cost Period Cost
200 820 62 $160 $222 300 0 32 $0 $32 180 0 14 $0 $14 70 0 7 $0 $7 50 0 2 $0 $2 20 0 0 $0 $0 10 590 58 $160 $218 30 0 55 0 $55 90 0 46 $0 $46
120 0 34 0 $34 150 0 19 $0 $19 190 0 0 0 $0
1410 329 $320 $649
XL 20σ 4.2
20+k4.2
p1 0.9 0.94 0.98 0.999safety factor k 1.28 1.55 2.05 3.09safety stock ss 5.38 6.53 8.63 12.98re-order point S 25.38 26.53 28.63 32.98
p1 ss0.9 5.38
0.94 6.530.98 8.63
0.999 12.98
Month Sequential Number Requirements(in units) 10 62 12Jan 1 200 1 2 3Feb 2 300 $54 $78.80 $88 Mar 3 180 $108 $113 Apr 4 70 $133 May 5 50Jun 6 20Jul 7 10
Aug 8 30Sep 9 90Oct 10 120Nov 11 150Dec 12 190
1410
A $160 r (per month) $0.40
v $1
EOQ 307
TRC 1472
130 154 129 88 52 124 1604 5 6 7 8 9 10
$244 $491 $749 $960 $1,106 $1,502 $2,078 $217 $402 $608 $784 $909 $1,256 1556.4$185 $308 $463 $604 $737 $ 1,034 1482.4$142 $204 $307 $413 $570 817.6 1201.6
$196 $248 $318 $454 652.8 972.8$250 $285.60 $327.20 549.6 805.6
$302 $322.80 498 690$340 $432 609.6
$486 $550 $540