# 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

Algebra ->  Algebra  -> Expressions-with-variables -> 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      Log On

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 Click here to see ALL problems on Expressions-with-variables 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(12270)   (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(789)   (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