SOLUTION: A restaurant has fixed costs of $143.75 per day and an average unit cost of $5.75 for each meal served. If a typical meal costs $7, how many customers must eat at the restaurant ea

Question 456906: A restaurant has fixed costs of $143.75 per day and an average unit cost of $5.75 for each meal served. If a typical meal costs $7, how many customers must eat at the restaurant each day for the owner to make a profit?
Found 2 solutions by mananth, htmentor:
Answer by mananth(16946) (Show Source): You can put this solution on YOUR website!
let persons eating be x
break even
143.75+5.75x=7x
143.75 = 1.25x
143.75/1.25=x
when 115 persons eat it is break even.
so x> 115
Answer by htmentor(1343) (Show Source): You can put this solution on YOUR website!
A restaurant has fixed costs of $143.75 per day and an average unit cost of $5.75 for each meal served. If a typical meal costs $7, how many customers must eat at the restaurant each day for the owner to make a profit?
=========================================================
Let x = the number of meals served
Then the equation for the revenue is
R = 7x - 5.75x - 143.75
R = 1.25x - 143.75
The break-even point is for R=0:
1.25x=143.75
This gives x = 115
To make a profit, R must be > 0
Therefore, they must serve 116 customers to make a profit
RELATED QUESTIONS
A restaurant has fixed costs of $137.50 per day and an average unit cost of $4.75 for... (answered by richwmiller)
Can you please help me with this one? ** A restaurant has fixed costs of $137.50 per day (answered by Nate,anjnewman)
A restaurant has fixed costs of $148.75 per day and an average unit cost of $5.75 for... (answered by ikleyn)
A restaurant has fixed costs of $147.50 per day and an average unit cost of $5.75 for... (answered by ikleyn,Alan3354)
A restaurant has fixed costs of $147.50 per day and an average unit cost of $5.75 for... (answered by Boreal)
A restaurant has a fixed costs of 137.50 per day and an average unit cost $4.75 for each... (answered by mananth)
A restaurant has a fixed cost of $147.50 per day and an average unit cost of $5.75 per... (answered by ad_alta)
Can you please help me? I think it's a linear equation. Also, it would help if you put... (answered by josmiceli)
1.An executive invests $25,000, some at 6% and some at 5% annual interest. If he receives (answered by mananth)