The product life cycle and pareto's lawY = (1+A)X

A+Xwhere

A= X(1-Y)Y-X

Dik :x= 0.15y= 0.8

$ 90,000.00 (total sales 10 item)

A = 0.0462

Item

1 0.1 0.716 $ 64,421.05 $ 64,421.05 8:1 $ 8,052.63 2 0.2 0.850 $ 76,500.00 $ 12,078.95 8:1 $ 1,509.87 3 0.3 0.907 $ 81,600.00 $ 5,100.00 5:1 $ 1,020.00 4 0.4 0.938 $ 84,413.79 $ 2,813.79 5:1 $ 562.76 5 0.5 0.958 $ 86,197.18 $ 1,783.39 5:1 $ 356.68 6 0.6 0.971 $ 87,428.57 $ 1,231.39 2:1 $ 615.69 7 0.7 0.981 $ 88,329.90 $ 901.33 2:1 $ 450.66 8 0.8 0.989 $ 89,018.18 $ 688.28 2:1 $ 344.14 9 0.9 0.995 $ 89,560.98 $ 542.79 2:1 $ 271.40

10 1 1.000 $ 90,000.00 $ 439.02 2:1 $ 219.51 $ 90,000.00 $ 13,403.35

Y = cumulative fraction of salesX = cumulative fraction of itemsA = constant to be determined

Cumulative Item Fraction

Projected cumulative

sales fraction

Projected cumulative

sales (Y)Projected item sales

Turnover ratio

Average Inventory

No Item Category X Y TO Avg Inventory1 A 0.1 0.716 8 8052.632 A 0.2 0.850 8 1509.873 B 0.3 0.907 5 1020.004 B 0.4 0.938 5 562.765 B 0.5 0.958 5 356.686 C 0.6 0.971 2 615.697 C 0.7 0.981 2 450.668 C 0.8 0.989 2 344.149 C 0.9 0.995 2 271.40

10 C 1 1.000 2 219.51

Dik :Annual Sales Data

Product Code Dollar Sales ranking item Product Code Dollar SalesA 56000 1 F 71000B 51000 2 G 63000C 10000 3 A 56000D 9000 4 B 51000E 46000 5 E 46000F 71000 6 K 27000G 63000 7 I 22000H 4000 8 L 18000I 22000 9 J 14000J 14000 10 C 10000K 27000 11 D 9000L 18000 12 H 4000

391000

Item Turnover ratio

1 0.083 0.267 $ 104,266.67 $ 104,266.67 8:1 $ 13,033.33 2 0.167 0.444 $ 173,777.78 $ 69,511.11 8:1 $ 8,688.89 3 0.250 0.571 $ 223,428.57 $ 49,650.79 5:1 $ 9,930.16 4 0.333 0.667 $ 260,666.67 $ 37,238.10 5:1 $ 7,447.62 5 0.417 0.741 $ 289,629.63 $ 28,962.96 5:1 $ 5,792.59 6 0.500 0.800 $ 312,800.00 $ 23,170.37 5:1 $ 4,634.07 7 0.583 0.848 $ 331,757.58 $ 18,957.58 5:1 $ 3,791.52 8 0.667 0.889 $ 347,555.56 $ 15,797.98 2:1 $ 7,898.99 9 0.750 0.923 $ 360,923.08 $ 13,367.52 2:1 $ 6,683.76

10 0.833 0.952 $ 372,380.95 $ 11,457.88 2:1 $ 5,728.94 11 0.917 0.978 $ 382,311.11 $ 9,930.16 2:1 $ 4,965.08 12 1.000 1.000 $ 391,000.00 $ 8,688.89 2:1 $ 4,344.44

Cumulative Item Fraction

Projected cumulative sales

fraction

Projected cumulative

sales (Y)Projected item

salesAverage

Inventory

50% dari total barang mencerminkan 80% penjualan80% penjualan = 312800

Y = (1+A)XA+X

where

A= X(1-Y)Y-X

Dik :x= 0.5y= 0.8

$ 391,000.00 (total sales 12 barang)

Turnover untuk masing -masing categoryA= 8B= 5C= 2

A= 0.333

Catagory Ratio

A 8A 8B 5B 5B 5B 5B 5C 2C 2C 2C 2C 2

Jadi item yang harus mendapat prioritas adalah F dan GBarang F dan G harus selalu tersedia untuk memenuhi kebutuhan pelanggan

Y = cumulative fraction of salesX = cumulative fraction of itemsA = constant to be determined