In a residential society composing of 100 houses. there were 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, child convinced the Residents welfare association to do it as a society initiative. For thus 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 ("depth")^2` Association will like to have minimum cost.
Based on this information, answer the any of the following questions.

`(d^2c)/(dh^2)` is given by

Options

A. `(25000)/(h^3)+800`
B. `(500)/(h^3)+800`
C. `100/(h^3)+800`
D. `(500)/(h^3)+2`