Find the minimum cost of making five pieces of chain with three links each into a straight watch chain for grandpa, if it costs Rs. 10 to open a link and Rs. 10 to weld a link.
Select one:
a. 50
b. 60
c. 70
d. 80
e. None of these
Answers
Answer: The correct answer is option B.
The minimum cost of making five pieces of chain with three links is Rs.60.
Explanation:
Given:- We have 5 pieces of chain.
Each chain consists of 3 links.
Cost of opening a link = Rs.10
Cost of welding an open link = Rs.10
Solution:-
Let's number the chains as 1, 2, 3, 4, 5 each one of them having three links.
Now let's take chain 1 and break open all 3 links.
As we know, Cost of opening each link = Rs.10
∴ Cost of opening 3 links = 3 × 10 = Rs.30
Now take one open link and use it to connect chain 2 and chain 3.
∴ Cost of welding = Rs.10
Now again using one open link connect chain 3 and chain 4.
∴ Cost of welding = Rs.10
Now using the last open link to connect chain 4 and chain 5.
∴ Cost of welding = Rs.10
Total cost = Cost of opening 3 links + 3(cost of welding open links)
= 30+10+10+10
= 60
Hence, the minimum cost of making five pieces of chain with three links is Rs.60.
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