Current Attempt in Progress

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

Rent on facilities

$$2,200$ per month

Advertising

$$274$ per month

Instrument Rent

$$750$ per month

Teaching Instruction

$$40$ per student

Books

$$5$ per student

Other Costs

$$3$ per student

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

$($a$)$

Your answer is correct.

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

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Attempts: unlimited

$($b$)$

Joyful Journeys has just received notice that the rent on their facilities will be increasing by $$500$ per month and the instrument

rent will also be increasing $$20$ 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 Joyful Journeys does not

increase the number of students taught. If Joyful 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

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