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Case Study
In a residential society comprising of 100 houses, there were 60 children between the ages of10 − 15 years. They were inspired by their teachers to start composting to ensure that biodegradable waste is recycled. For this purpose, instead of each child doing it for only his/her house, children convinced the Residents welfare association to do it as a society initiative. For this they identified a square area in the local park. Local authorities charged amount of ₹ 50 per square metre for space so that there is no misuse of the space and Resident welfare association takes it seriously. Association hired a labourer for digging out 250 m 3 and he charged ₹ 400 X (depth) ) 2 . Association will like to have minimum cost.
In a residential society comprising of 100 houses, there were 60 children between the ages of
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Question : 49
Total: 50
Value of x (in m ) for minimum cost is
Solution: 👈: Video Solution
Explanation: For minimum cost, put
= 0 , we get
h = 2.5 m
At h = 2.5 ,
> 0
(Hence, minimum)
Value ofx at minimum cost
x = √
= √
= 10 m
(Hence, minimum)
Value of
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