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四、設有一產品年需求有4,160公斤,每周需求平均有80公斤、標準差為25公
斤。下單一次的成本是$300,從下單到收貨時間大概保持三周時間不變,
其年庫存持有成本為每公斤$7.0。試決定該產品之最佳訂購量,以及為提
供97%之服務機率所需之再訂購點(reorder point,ROP)應是多少?另外,
若該公司希望降低此產品30%之安全存量,試決定若如此做,該公司該產
品可能之服務機率為何?(25分)
Z值表
z.00 .02 .04 .06 .08
.5000 .5080 .5160 .5239 .5319
.5398 .5478 .5557 .5636 .5714
.5793 .5871 .5948 .6026 .6103
.6179 .6255 .6331 .6406 .6480
.6554 .6628 .6700 .6772 .6844
.6915 .6985 .7054 .7123 .7190
.7257 .7324 .7389 .7454 .7517
.7580 .7642 .7704 .7764 .7823
.7881 .7939 .7995 .8051 .8106
.8159 .8212 .8264 .8315 .8365
.8413 .8461 .8508 .8554 .8599
.8643 .8686 .8729 .8770 .8810
.8849 .8888 .8925 .8962 .8997
.9032 .9066 .9099 .9131 .9162
.9192 .9222 .9251 .9278 .9306
.9332 .9357 .9382 .9406 .9429
.9452 .9474 .9495 .9515 .9535
.9554 .9573 .9591 .9608 .9625
.9641 .9656 .9671 .9686 .9699
.9713 .9726 .9738 .9750 .9761
.9772 .9783 .9793 .9803