There are 5 pieces of chain, each piece made up of 3 links. a single straight chain is to be made out of them. the blacksmith charges rs.10 for cutting each link and rs.40 for welding a link.what would be the minimum cost involved ?
2006-09-18 18:19:28 · 21 answers · asked by Anonymous in Science & Mathematics ➔ Mathematics
rs. 150 (whatever rs. is). But because I'm a genius, I know that you'll learn more if I don't tell you how to do it.
2006-09-18 18:26:02 · answer #1 · answered by Frank N 7 · 2⤊ 1⤋
u have 5 pieces of chain
and 3 links in each piece
so total no. of pieces = 5*3 = 15
so out of every 3 piece of links he have to cut only 2 links and the third one is cut automatically
so total cutting = 2*5 = 10
and cost of it = 10*10 =100 rs
and for welding 15 links = 15*40 = 600 rs
so total = 600 + 100 = 700 rs
2006-09-18 20:35:35 · answer #2 · answered by Anonymous · 0⤊ 0⤋
By cutting open the 3 links of one piece you get the necessary number of links to join the other 4 pieces together to form a single long chain. So the least cost involved is cost of cutting 3 links and welding 3 links. i.e. 3x10 + 3x40 = 150. So the answer is rs.150
2006-09-18 22:51:30 · answer #3 · answered by Manindomb 2 · 0⤊ 0⤋
cost for cut the link = rs 10 * 3 * 5 = rs 150
cost for welding = rs 40 (the welding can be done all in one time)
the minimum cost = rs 150 + rs 40 = rs 190
2006-09-18 18:56:06 · answer #4 · answered by ooowen 3 · 0⤊ 0⤋
Take one piece of chain, open up all three links (cost: 30).
Use the three open links to connect the other four: A -link- B -link- C -link- D.
Then weld the three links (cost: 120).
Total cost is 150, the absolute minimum here.
(The "naive" solution would cost 8 * 50 = 400.)
2006-09-18 18:35:33 · answer #5 · answered by dutch_prof 4 · 2⤊ 0⤋
rs.150.
Suppose we have the 5 chains:
OOO OOO OOO OOO OOO
We cut the 3 links of one chain (costs rs.30):
U U U OOO OOO OOO OOO
We use these 3 cuts to link the other 4 chains
OOO U OOO U OOO U OOO
Finally, we weld it again (costs rs.120):
OOOOOOOOOOOOOOO
Thus, we spend rs.30 + rs.120 = rs.150, whatever rs. is...
-------------------
additional, initial intuition gives you rs. 200, as follows:
OOO OOO OOO OOO OOO
(rs.40)
OO U OO U OO U OO U OOO
(rs.160)
OOOOOOOOOOOOOOO
But the rs.150 solution tends to be the minimum.
^_^
2006-09-19 01:05:00 · answer #6 · answered by kevin! 5 · 1⤊ 0⤋
4 Cuts, 4 Welds = rs200
2006-09-18 21:14:48 · answer #7 · answered by Anonymous · 0⤊ 0⤋
Start with five pieces of chain.
ooo ooo ooo ooo ooo
Take one piece of chain and cut its three links apart. (3 x .10)
ooo ooo ooo ooo C C C
Join the four remaining chains together with the three links. (3 x .40)
oooOoooOoooOooo
Total: 1.50
2006-09-18 18:43:44 · answer #8 · answered by G. Whilikers 7 · 1⤊ 0⤋
4 welds x .40=1.60 and 8 cuts x .10=.80
$2.40
2006-09-18 18:31:00 · answer #9 · answered by Bobbi 2 · 0⤊ 1⤋
rs 200
2006-09-18 18:30:03 · answer #10 · answered by charley128 5 · 0⤊ 1⤋