Determine the company's break$-$even point in $(1)$ number of students taught per month and $(2)$ dollars.

$(1)$ Break even in number of students taught per month

students

$(2)$ Break even in dollars

$

eTextbook and Media

Assistance Used

Attempts: $1$ of $2$ used

$($b$)$

Coronado Journeys has just received notice that the rent on their facilities will be increasing by $$481$ per month and the instrument rent will also be increasing $$19$ per month. $(1)$ Determine the company's break$-$even point in the number of students taught per month based on the new information. $(2)$ Determine the amount to charge per student assuming that Coronado Journeys does not increase the number of students taught. If Coronado Journeys does not want to increase their fees, how many additional students will they need to attract? $($Round amount to charge per student to $2$ decimal places, e$.$g$.15\mathrm{.}25.)$

$(1)$ Break even in number of students taught per month

students

$(2)$ Amount to charge per student

$

Additional number of students

students

Coronado Journeys Music School provides private music lessons for elementary students. Its operating costs are as follows:

$\backslash$table$[[$Rent on facilities,$$1,990,$per month$],[$Advertising$,$$$410,$per month$],[$Instrument Rent,$$700,$per month$],[$Teaching Instruction,$$42,$per student$],[$Books$,$$$5$ per student,$],[$Other Costs,$$3$ per student,$]]$

Coronado Journeys charges $$100$ per student per month.