Question

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 250 m3 and he charged ₹ 400 X (depth)2. Association will like to have minimum cost.

`(d^2C)/(dh^2)` is given by 

विकल्प

• `25000/h^3 + 800`

• `500/h^3 + 800`

• `100/h^3 + 800`

• `500/h^3 + 2`

Answer 1

`bb(25000/h^3 + 800)`

Explanation:

Since,

∴ `(dC)/(dh) = (-12500)/h^2 + 800h`

∴ `(d^2C)/(dh^2) = (-(-2) xx 12500)/h^3 + 800`

`\implies (d^2C)/(dh^2) = 25000/h^3 + 800`