CBSE Class 12 Math 2022 Term I Solved Paper

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Case Study
In a residential society comprising of 100 houses, there were 60 children between the ages of 10−15 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 250m3 and he charged ₹400X (depth) )2. Association will like to have minimum cost.

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Question : 50 of 50
 
Marks: +1, -0
Total minimum cost of digging the pit (in ₹) is
Solution:
Explanation: Total minimum cost,
(At 2.5)
C=12500h+400h2
⇒C=125002.5+400(2.5)2
⇒C=5000+2500
⇒C=₹7500
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