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Hello group members,
By now we didn't study Management Scinence Chapter 7 , So I am not very sure these answers are right or wrong. From question 2 to question 3, because the objective function's variable and constraint are so much, maybe you wil l feel a little uncomfortable when you see these answers.
Question 1
Costs of manufacturing: $426,710.00
Costs of distribution from plants to distribution centers: $92,252.00
Costs of distribution from distribution centers to customer centers : $101,808.00
Total costs: $620,770.00
Question 2
Costs of manufacturing: $423,230.00
Costs of distribution from plants to distribution centers: $85,292.00
Costs of distribution from distribution centers to customer centers : $92,420.00
Total costs: $600,942.00
Savings: $19,828.00
Question3
Costs of manufacturing: $423,230.00
Costs of distribution from plants to distribution centers, Los Angele , San Diego and San Diego: $76,804.00
Costs of distribution from distribution centers to customer centers: $53,500.00
Total costs: $553,534.00
Savings: $67,236.00
FIGURE (question1)
FIGURE (question2)
FIGURE (question3)
Question 2
objective function is the total costs
Min.12.7A+14.7B+13.9C+11.2D+13.7E+0.3F1+5.2F2+2.1F3+5.4F4+3.1F5+4.5F6+4.4F7+6F8+6F9+2.7F10+5.4F11+4.7F12+3.3F13+3.4F14
+2.4F15+3.3F16+2.1F17+2.7F18+2.5F19
F18 F19
2.7 2.5
objective function is the total costs
Min.12.7A+14.7B+13.9C+11.2D+13.7E+0.3F1+5.2F2+2.1F3+5.4F4+3.1F5+4.5F6+4.4F7+6F8+6F9+2.7F10+5.4F11+4.7F12+3.3F13+3.4F14
+2.4F15+3.3F16+2.1F17+2.7F18+2.5F19+14G1+10.3G2+10.7G3
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Change this Case Problem from Darby Company to SONY Company
EI paso ⇨ Osaka
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The SONY Company manufactures and distributes MP3, then sale MP3 to
SONY Company has 2 plants.
One is in
The cost of each MP3 produced at the
The cost of each MP3 produced at
TABLE 1.
Plant |
Cost |
Production Capacity |
|
$10.00 |
20,000 |
|
$10.50 |
30,000 |
SONY Company has 3 distribution centers in
One is in
The cost of shipping a MP3 from each of the two plants to each of the tree distribution centers is shown in Table 2. ( Note that no shipments are allowed from the
TABLE 2.
Plant |
|
|
Incheon |
|
$3.20 |
$2.20 |
$4.20 |
|
--- |
$3.90 |
$1.20 |
SONY Company has 9 customer zones in S.Korea. They are Yangsan, Changwon, Gimhae,
Deagu, Daejeon, Gwangju,
TABLE 3.
Customer Zone |
Demand (MP3s) |
Yangsan |
6300 |
Changwon |
4880 |
Gimhae |
2130 |
|
1210 |
Deagu |
6120 |
Deajeon |
4830 |
Gwangju |
2750 |
|
8580 |
|
4460 |
Demand at the Yangsan, Changwon, Gimhae and
Demand at the Daegu, Daejeon and Gwangju customer zones is satisfied by Shipments from the Mogpo.
Demand at the
The cost of shipping from each distribution center to each customer zone is given in Table 4.
TABLE 4. ( note that some of the distribution centers cannot serve certain customer zones )
|
Yangsan |
Changwon |
Gimhae |
|
Daegu |
Daejeon |
Gwangju |
|
|
Busan |
$0.30 |
$2.10 |
$3.10 |
$4.40 |
$6 |
-- |
-- |
-- |
-- |
Mogpo |
$5.20 |
$5.40 |
$4.50 |
$6 |
$2.70 |
$4.70 |
$3.40 |
$3.30 |
$2.70 |
Incheon |
-- |
-- |
-- |
-- |
$5.40 |
$3.30 |
$2 |
$2.10 |
$2.50 |
Question
1. What will SONY Company’s manufacturing and distribution costs be for the following quarter?
2. If customers could be served by any of the distribution centers for which costs are available. Can costs be reduced? By how much?
3. If SONY Company can send MP3 from Japanese Plant to Changwon directly with $3.5 each MP3, from Chinese plant to Seoul directly with $0.3 each MP3, and from Chinese plant to Suwan directly with $0.7 each MP3 (TABLE 5), Can costs be further reduced? By how much?
TABLE5
|
Changwon |
|
|
Janpan |
$3.50 |
|
|
|
|
$0.30 |
$0.70 |
Answer to Question1
Min
s.b. A+B≦15480 Osaka Japan
C+D≦20000 Shanghai China
A+C=13700
B+D=13040 Incheon
Answer to Question2
① Costs of manufacturing:
② Costs of distribution from plants to distribution centers:
③ Costs of distribution from distribution centers to customer centers :
Total costs=①+②+③:
Min
s.b. F1+F2=6300 Yangsan
F3+F4=4880 Changwon
F5+F6=2130 Gimhae
F7+F8=1210
F9+F10+F11=6120 Deagu
F12+F13=4830 Deajeon
F14+F15=2750 Gwangju
F16+F17=8580
F18+F19=4460
E-F1-F3-F5-F7-F9=0 Busan
A+C-F2-F4-F6-F8-F10-F12-F14-F16-F18=0
B+D-F11-F13-F15-F17-F19=0 Incheon
C+D≦20000 Shanghai China
A+B+E≦30000 Osaka Japan
Answer to Question3.
① Costs of manufacturing:
② Costs of distribution from plants to distribution centers:
③ Costs of distribution from distribution centers to customer centers :
④ Costs of distribution from plants to customer centers:
Total costs=①+②+③+④ :
Min
F1+F2=6300 Yangsan
F3+F4+G1=4880 Changwon
F5+F6=2130 Gimhae
F7+F8=1210
F9+F10+F11=6120 Deagu
F12+F13=4830 Deajeon
F14+F15=2750 Gwangju
F16+F17+G2=8580
F18+F19+G3=4460
E-F1-F3-F5-F7-F9=0 Busan
A+C-F2-F4-F6-F8-F10-F12-F14-F16-F18=0
B+D-F11-F13-F15-F17-F19=0 Incheon
C+D+G2+G3≦20000 Shanghai China
A+B+E+G1≦30000 Osaka Japan
첫댓글 ^ ^ *
흠... ㅎ 2번이랑 3번이면... ㅎ 목요일날 만나서 다시 설명해주세요~ ㅋㅋ이거 참고해서 갈게요ㅎ
내 생각에는 제대로 푼거 같은데...^^;;;;일단 비용을 최소화 시킨 운송경로와 기존의 운송경로에서 큰 차이는 나지 않는다...2~3개의 경로만 바뀌고 나머지는 기존의 경로가 최소화 경로이다...그리고 바뀐 경로도 단위단 비용이 기존의 경로와 큰 차이가 나지 않는다 많이 나야 1달러 정도..그래서 19000달러 차이면 많은 차이 인거 같은데...^^;;;
즈웨이 ~ 화이팅 ㅎ,ㅎ 언제발표해요 ?
샤오즈웨이 넘 수고했당..ㅠ
^^ Gooooooood job!!!!
와~쯔웨이!! 열씨미하구있엉??화이팅이야^^