Given Information Service Level - 95% (z value= 1.6649) Order Cost - $125 Order Cycle (weeks) -  4, 5, 6, 7, 8 Lead Time (weeks) - 2 weeks Operating Time - 52 weeks Standard deviation = 69.3237 Variable Holding Cost - 12.019%  Fixed Holding Cost - 1,659,317.307   QUESTION: Compute for annual variable holding cost. Formula Given:  (EOQ/2) x (Unit cost x Percentage Value of Inventory)

Practical Management Science
6th Edition
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Author:WINSTON, Wayne L.
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Chapter2: Introduction To Spreadsheet Modeling
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Given Information

Service Level - 95% (z value= 1.6649)

Order Cost - $125
Order Cycle (weeks) -  4, 5, 6, 7, 8
Lead Time (weeks) - 2 weeks
Operating Time - 52 weeks

Standard deviation = 69.3237

Variable Holding Cost - 12.019% 
Fixed Holding Cost - 1,659,317.307

 

QUESTION:

Compute for annual variable holding cost.

Formula Given: 

(EOQ/2) x (Unit cost x Percentage Value of Inventory)

 

Week
Demand
Week
Demand
1
519
27
519
2
614
28
461
469
29
458
4
473
30
632
460
31
436
6
610
32
516
7
472
33
608
8
478
34
525
610
35
619
10
479
36
580
11
421
37
623
12
566
38
376
13
697
39
394
14
463
40
454
15
565
41
659
16
481
42
581
17
538
43
623
18
511
44
483
19
506
45
434
20
523
46
534
21
529
47
493
22
467
48
471
23
535
49
514
24
551
50
507
25
460
51
558
26
449
52
536
TOTAL
27,040
Figure 1.1 Weekly Demand for BWC Product
Transcribed Image Text:Week Demand Week Demand 1 519 27 519 2 614 28 461 469 29 458 4 473 30 632 460 31 436 6 610 32 516 7 472 33 608 8 478 34 525 610 35 619 10 479 36 580 11 421 37 623 12 566 38 376 13 697 39 394 14 463 40 454 15 565 41 659 16 481 42 581 17 538 43 623 18 511 44 483 19 506 45 434 20 523 46 534 21 529 47 493 22 467 48 471 23 535 49 514 24 551 50 507 25 460 51 558 26 449 52 536 TOTAL 27,040 Figure 1.1 Weekly Demand for BWC Product
Calculations:
To get the annual ordering cost, we need to compute for the number of
orders per cycle.
No. of Order per cycle:
Order Cycle No. of Order
4.
13
Operating time = 52 weeks
10.4
Order Cycle = 4, 5, 6, 7, 8 weeks
6.
8.6666
Formula:
7
7.4285
6.5
= Operating time / Order Cycle
Annual Ordering Cost:
Order Cycle Annual Ordering Cost
Order Cost = $125
4
1,625
1,300
Formula:
6
1,083.33
= Order Cost x No. of Order per cycle
7
928.5625
8
812.5
Transcribed Image Text:Calculations: To get the annual ordering cost, we need to compute for the number of orders per cycle. No. of Order per cycle: Order Cycle No. of Order 4. 13 Operating time = 52 weeks 10.4 Order Cycle = 4, 5, 6, 7, 8 weeks 6. 8.6666 Formula: 7 7.4285 6.5 = Operating time / Order Cycle Annual Ordering Cost: Order Cycle Annual Ordering Cost Order Cost = $125 4 1,625 1,300 Formula: 6 1,083.33 = Order Cost x No. of Order per cycle 7 928.5625 8 812.5
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