Ron Moss, a manager of Waterworks Inc., was reviewing the water bills of a dog daycare and spa. He determined that its highest and lowest bills of $$3,800$ and $$2,400$ were incurred in the months of May and November, respectively. If $400$ dogs were washed in May and $200$ dogs were washed in November, what was the estimated cost, If $500$ dogs were washed in December?

Group of answer choices are listed below:

$$3,735$

$$3,573$

$$3,100$

$$2,500$