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.

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

Options

A. `50/h+400h^2`
B. `(12500)/h+400h^2`
C. `250/h+h^2`
D. `250/h+400h^2`