Belleterre Tiles makes tiles for flooring and other applications. The CFO of the company provides you with the following information for the period October through December, the company's third quarter:

Belleterre Tile

Revenues and Costs

Third Quarter

Total quantity sold $125,700$ tiles

Total revenues $ $457,548$

Total variable costs $354,474$

Total fixed costs $98,400$

Required:

What is the average selling price per tile?

Note: Round your final answer to $2$ decimal places.

What is the average variable cost per tile?

Note: Round your final answer to $2$ decimal places.

What is the average contribution margin per tile?

Note: Do not round intermediate calculations. Round your final answer to $2$ decimal places.

What is the current operating profit for a quarter?

Note: Do not round intermediate calculations.

What is the break$-$even point?

Note: Do not round intermediate calculations.

The CFO tells you that the company owners have said that unless the quarterly operating profit exceeds $$15,170,$ they will liquidate the company. How many tiles would have to be sold in a quarter for Belleterre Tile to earn $$15,170$ in quarterly operating profit?