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 $575$ $ $6,400$

February $4755,350$

March $6756,050$

April $5506,250$

May $3005,150$

June $5006,050$

July $3255,300$

August $4005,050$

September $4255,900$

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 $350$ cavities.