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jia's friend provide fog washing service for each dog supplies cost $4and wage are $5 .to provide this service ,a special room and equipment are needed ,at a cost of 400$ per month .jia's friend maintsjn an average of 30 dags washed each month .what must jia's friend charge as a price for the dog washing sevice to break even ?​

Respuesta :

Answer:

jia's friend should charge $22.33 for the dog washing sevice.

Step-by-step explanation:

It is given that jia's friend provide fog washing service for each dog supplies cost $4 and wage are $5 .

A special room and equipment are needed ,at a cost of 400$ per month .

Fixed cost = $400

Variable cost = $4+$5=$9

Total cost of 30 dogs is

[tex]C=400+9(30)=670[/tex]

Let x be the amount charged by jia's friend for the dog washing sevice. So, total revenue for 30 dogs washing service is

[tex]R=30x[/tex]

Formula for profit:

[tex]Profit=Revenue-Cost[/tex]

[tex]Profit=30x-670[/tex]

For break even condition, the profit is 0.

[tex]0=30x-670[/tex]

[tex]-30x=-670[/tex]

[tex]30x=670[/tex]

Divide both sides by 30.

[tex]\frac{30x}{30}=\frac{670}{30}[/tex]

[tex]x=22.33[/tex]

Therefore, jia's friend should charge $22.33 for the dog washing sevice.

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