DXW Inc. wants to determine the behaviour of its production costs based on the most recent production data. The total costs incurred by the company at different levels of output for the past $3$ quarters are as follows:

$\backslash$table$[[$Quarters$,\backslash$table$[[$Production output$],[($units$)]],\backslash$table$[[$Total production cost incurred$],[($R$)]]],[$Q$1,240000,3630000],[$Q$2,277500,3911250],[$Q$3,285000,3967500]]$

DXW Inc. uses the high$-$low method to separate total production costs into their fixed and variable components. Required:

Compute the estimated total costs for an output of $315000$ units.

A$.$ R$4117500$

B$.$ R$4175000$

C$.$ R$4025000$

D$.$ R$4192500$