Problema Solution

A restaurant has fixed costs of $141.25 per day and an average unit cost of $4.75 for each meal served. If a typical meal costs $6, how many customers must eat at the restaurant each day for the owner to break even?

Answer provided by our tutors

for profit per meal, we use:

6 - 4.75 = 1.25


let 'x' represent the number of meals served, then we have a linear equation for total daily cost, 'P':

P = 1.25x - 141.25


for the owner to break even, P=0, and the number of meals that must be served:

0 = 1.25x - 141.25

solving for 'x' we have x=113


the restaurant must serve 113 meals in order to break even