Browsing this Thread:
1 Anonymous Users
|
|
OPTIMIZATION THEORY |
|
|---|---|---|
|
Guest_
|
MATHEMATICS – OPTIMIZATION THEORY
Can someone please solve this. An archery target manufacturer has an order for 10 large stands 4 medium stands 4 small stands Large stands require 2 pieces of wood 2035mm long 2 pieces of wood 1990mm long 2 pieces of wood 1330mm long 1 piece of wood 1425mm long Medium stands require 2 pieces of wood 1800mm long 2 pieces of wood 1755mm long 2 pieces of wood 890mm long 1 piece of wood 985mm long Small stands require 2 pieces of wood 1700mm long 2 pieces of wood 1655mm long 2 pieces of wood 670mm long 1 piece of wood 765mm long Each piece of wood comes in lengths 5100mm long. How many pieces of wood are required to produce the 18 assorted archery stands and what is the most economic way to cut the wood, with minimum (< 1.0%) wastage? CORRIGENDUM My apologies for the typo. Wastage should read <10% instead.
Posted on: 2007/3/6 14:58
|
|
  |
|
|
|
|
Re: OPTIMIZATION THEORY |
||||||||||
|---|---|---|---|---|---|---|---|---|---|---|---|
|
Home away from home
 
Joined:
2006/1/17 19:32 Group:
Registered Users Moderators Posts: 2215
Level : 38
HP : 0 / 935
 |
Hello :
Anyone wants to try it? umm Who can translate it into chinese for me? 
Posted on: 2007/3/6 19:44
|
||||||||||
|
|
|
||||||||||
|
|
Re: OPTIMIZATION THEORY |
||||||||||
|---|---|---|---|---|---|---|---|---|---|---|---|
|
Home away from home
Joined:
2006/4/28 13:55 Group:
Registered Users Posts: 312
Level : 16
HP : 0 / 387
|
a piece of cake, 7 pieces of woods for each stand, so
SUM=10x7+4x7+4x7=126
Posted on: 2007/3/6 21:21
|
||||||||||
|
|
|
||||||||||
|
|
Re: OPTIMIZATION THEORY |
|
|---|---|---|
|
Guest_
|
Rony ...
Good try! The catch here is OPTIMIZATION! The total length required for the entire project is 193,800mm of wood. Your 126 pieces of 5,100mm wood gives a linear measurement of 642,600mm. Second chance!
Posted on: 2007/3/6 21:40
|
|
|
|
|
|
|
|
Re: OPTIMIZATION THEORY |
||||||||||
|---|---|---|---|---|---|---|---|---|---|---|---|
|
Home away from home
Joined:
2006/4/28 13:55 Group:
Registered Users Posts: 312
Level : 16
HP : 0 / 387
|
haha, geo, i'm just kidding, i'll give a "real" shot later,
it's interesting and needs some time
Posted on: 2007/3/6 22:33
|
||||||||||
|
|
|
||||||||||
|
|
Re: OPTIMIZATION THEORY |
|
|---|---|---|
|
Guest_Anonymous
|
Quote:
Rony is trying to get an easy way out 
Posted on: 2007/3/6 22:56
|
|
|
|
|
|
|
|
Re: OPTIMIZATION THEORY |
|
|---|---|---|
|
Guest_Anonymous
|
Quote:
簡譯如下----> 箭靶廠接到訂單 內容和各式箭靶材料需求如下: 大型箭靶 10座 中型箭靶 4座 小型箭靶 4座 大型箭靶需要 木材 2035mm長 * 2 pieces .... (等等 依此類推 ) 每隻木材長度為5100mm 這18座箭靶需要多少木材 最有效的切割木材方式為何? (廢料率< 1.0%)
Posted on: 2007/3/6 23:06
|
|
|
|
|
|
|
|
Re: OPTIMIZATION THEORY |
||||||||||
|---|---|---|---|---|---|---|---|---|---|---|---|
|
Just can't stay away
Joined:
2006/12/30 19:02 Group:
Registered Users Posts: 84
Level : 8
HP : 0 / 178
|
Anonymous, an easy way out would be for the archery target manufacturer to refuse the order, no wood would be used, no trees would have to be cut down, we don't have to solve this problem, the green peace people would be very happy.
Posted on: 2007/3/7 0:08
|
||||||||||
|
|
|
||||||||||
|
|
Re: OPTIMIZATION THEORY |
|
|---|---|---|
|
Guest_Anonymous
|
Quote:
Hmmmmm, disagree. The customer would go to another supplier. So, the tree will still be cut.  I remembered that NZ pine trees can grow so fast, in a very suprising speed.
Posted on: 2007/3/7 2:05
|
|
|
|
|
|
|
|
Re: OPTIMIZATION THEORY |
|
|---|---|---|
|
Guest_
|
Quote:
I knew you were kidding! I know your knowledge on mathematics has attained a level equivalent to Financial Maths. Viewers look forward to your solution.
Posted on: 2007/3/7 11:02
|
|
|
|
|
|
You cannot start a new topic.
You can view topic.
You cannot reply to posts.
You cannot edit your posts.
You cannot delete your posts.
You cannot add new polls.
You cannot vote in polls.
You cannot attach files to posts.
You cannot post without approval.
