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Unformatted text preview: 9. 15
a. From Equation 9.10 2 ‘ 2 '
y =L=m=1250 units
2b 2(400) ‘ 2 , 2 '
b. current m = éb—a = = 0.05 < 0.075
« vra 0.8 ° 0.2 ° 1000 Use EOQ expressed as a time supply, based on current a. ~sz I 2‘50  
T = —= ———————————=o.791
I “’9 Dvr (1000)(0.8)(0.2)‘  years . We need an order quantity that will last 0.791 years; 213 1000 / /// slope = 400 \ / 0.791 2.5 time
>a’=1000 — 400 0 .791
= 683.6
Q1: hatched area _ _
= 0,791[W)
2 =666 units at time 0.
, > 2
4 New m =—i§9¥ﬂO)———3 = 0.156 > 0.075 (0.8)(0.2)(683.6) Q2 remaining requirements area of dotted triangle = 1/2(683.6)(2.5  0.791)
= 584 units at time 0.791 years 9.16 . .
‘ a. Item X. Touse Figure 9.1 we need the values of A/E(i) and E(t)vr. A=$4.00 r=.30/yr c,.=.50 v=$6 D=10
E(t) = 5 = average transaction size. .1202. E(i) E(i) = 1/2 yr. E(r)vr=5°6°.3=9
A/E(i) = 4/1/2 = 8 = .50 line, do not stock item X. } this point falls above the C; Item Y. E(i) = .2 years E(t)vr’= 2 0 6  .3 = 3.6
A/E(i) = 4/2 = 20. 214 This point fallsbelowthe C; = .50 line of Figure 9.1, therefore stock item
Y. . ~ b. The infrequent large transaction of X makes it relatively attractive to not
stock. On the average, 5 units are satisﬁed by each replenishment and no stock
charges are involved. Holding costs would be higher on the average" for item X than the replenishment cost A. ‘74???“3'9‘5 ‘ ‘ ‘ v x 9.19 a. p“2 (k) = —Q— : Ji— = 0.033
D(TBS) 3600) According to PoissOn distribution, k=1.83 s=5EL+kG,, 2L=DL, 0L=JDL
s=DL+kJDL =36+1.'83«/3_6§46 _ Q = 12 =
b, pu2(k)——D(TBS) —36(2) .16 According to Poisson distribution, k = 0.97 's = DL+ kJDL = 36 + 97% .242 According to Poisson distribution, k=2. 13 s = DL+kw/DLA= 36+2.13«/%a49 217 9.20 D(v  g) EOQ = 2AD V" vr w = 2000 (mo; _ 600[4 — mm] = 306
. 4(2) _ , 4(.2) m . ' ‘ a
V6 + ‘1 7 _
Find the largest integer less than log LL] +log[ D a D + 1
(Va +7)
1 I o 2 + _—°'°7 log 0'14 + log:_lo__: E76 05 + 0.07 3o+o.14
0.14 { W =I—EOQ— 9.21 218 ...
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This note was uploaded on 11/03/2008 for the course IE 251 taught by Professor Wilson during the Spring '08 term at Lehigh University .
 Spring '08
 Wilson

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