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IE 251 Exam 1 Solution Fall 2008

# IE 251 Exam 1 Solution Fall 2008 - IE 251 S‘th Production...

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Unformatted text preview: IE 251 S‘th Production and Inventory Control ‘ﬁ" Exam #1 Fall 2008 1...(32 pts) “nun- A A Leta =.2,,6 = .1,a3 =175,h20 = 53 a) find a A b) find b‘1 c) find 24,“, d) find the 4-point moving average centered at period 4 [a a4 : (pan (8% + £3) + of X4. :(flg/ﬁrxq + (.2\ (15cm 124955 (b) at 2 “’39 £3 + § (‘14 — ﬂat-3.161903 + (ABUSE—1753 ‘\ =14.I\‘> \\ 1/, ,- I \ v—-~.__._——’4— A A A {V N \ (c5 Xi”: out + 10% (4,3 = m> + (I‘MMéEBomgNB “WI—g» ‘ 35+ «Koo +15?) + 55 2. 7- (0 (cL.) a“ Lt 1 C45 = W :2 151,2? , C a—l-C r// W \ " Ci: IE 251 Production and Inventory Control Exam #1 Fall 2008 2...(30 pts) “nun- Let A = \$200 , h = \$4/unit/period , and assume initial inventory = 0 a) determine a Part Period Balancing coverage of the 6 periods of demand b) determine the best coverage of the first 3 periods using the Wagner- Whitin algorithm 3 4 5— Q ((1') t l .2 — “ " 0 35m mmmwma Ag Kw} é’/— . -‘ E} (15mm) 2600 0' (saw ‘ " ‘ 572.70 MOM :. (new: afraid I M Wt [83‘ mdu: Lu. [ma 3 4M “Waco IE 251 Production and Inventory Control Exam #1 Fall 2008 2...(3o pts) nun- Let A = \$200 , h = \$4/unit/period , and assume initial inventory = 0 a) determine a Part Period Balancing coverage of the 6 periods of demand b) determine the best coverage of the first 3 periods using the Wagner- Whitin algorithm ' 1c F‘(K) 2W (t-nru-Dt—l— F('3..Q73 =5 “35K PU) ra’loo +0 '2 6200 . 3=l : 300 + (Lucas) 4- o 2 340 : 3+0 Fm) : h ‘ ‘ E 3“— a) A J=9~= 400 + goo :: 400 (g - . 374 ’- Aoo + 4m» 1- mm) 200 + o : H33 :WM < < ) [4+0 A 3:; 1 260 + 4(2003—1—290 2 [goo : 5+0 3*:5 IE 251 Production and Inventory Control Exam #1 Fall 2008 3...(15 pts) mam .- “ Utilizing Exchange Curve analysis, determine the value of the EOQ for each item if the aggregate number of orders under the present policy is maintained but the TACS is reduced as much as possible. 3 l 151- K = 4; ENDan : £~£W + 300cm! +W]2 (3 (+3ti 7ath = 4 + l + (mam) = K IMSJTACS’F = 11% ll 2’." 4:. .3 3 l) :41 i4: —D 00 oq \ .1; 04 A _ TACS'k _ 44qzz.+s '_ \ S IE 251 Production and Inventory Control Exam #1 Fall 2008 4...(23 pts) III-[III-III-Ilﬂ-II-IE-Il 1000/yr \$.25/S/yr \$.22/unit short \$20/unit short/yr a) Determine the average shortage over the portion of the cycle that shortage occurs under an optimal inventory policy. b) Determine the average shortage over the entire cycle under an optimal inventory policy. c) Determine the total annual shortage cost under an optimal inventory policy I“ . Z /}_ A [(\$60 (.3;\! / = .1 {‘Ebiﬂwﬁ ll g Jée.sa 1-‘5 ‘3‘” (4530103 \\ I : QrU’AD’W (gecsmms 4mm) 32 I rw-tcs @5‘+ao ; 2 Int? J ; \\qﬂ%// Z. a , :.:1 ,3— : (14.3%) /.:_’_ 73\$ aauﬁﬁ\\&*W//' Z S _ (000 3(5Tm + “5&3 — Jcmz numb“) + (.73?) (520i 2 #31. \r ...
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