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.

Let side of square plot is x m and its depth is h metres, then cost C for the pit is

विकल्प

• `50/h + 400h^2`

• `12500/h + 400h^2`

• `250/h + h^2`

• `250/h + 400h^2`

Answer 1

`bb(12500/h + 400h^2)`

Explanation:

`C = (250 xx 50)/h + 400 xx h^2`

`\implies C = (12500)/h + 400h^2`