Fromme's Frocks has the following machine hours and production costs for the last six months of last year:

Month Machine Hours Production Cost

July $16,900$ $ $12,170$

August $15,40012,700$

September $13,4009,650$

October $17,40012,270$

November $16,70011,787$

December $14,0009,979$

If Fromme expects to incur $12,500$ machine hours in January, what will be the estimated total production cost using the high$-$low method?

Note: Round the variable cost per hour to $3$ decimal places.

Group of answer choices:

$$8,187\mathrm{.}50$

$$9,060\mathrm{.}50$

$$20,457\mathrm{.}50$

$$8,814\mathrm{.}66$