Canyon Dental Services is a specialized dental practice whose only service is filling cavities. Canyon has recorded the following for the past nine months:

Month Number of Cavities Filled Total Cost

January $300$ $ $5,000$

February $3755,200$

March $5506,150$

April $5005,700$

May $4505,500$

June $5256,000$

July $3505,100$

August $6256,300$

September $6006,250$

Required:

Use the high$-$low method to estimate total fixed cost and variable cost per cavity filled.

Using these estimates, calculate Canyon$$s total cost for filling $575$ cavities.