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Finding a Break-Even Point : At which month will you break even?

You are opening up a restaurant, initial cost of opening the restaurant is $80,000, plus $4,000 monthly expenses. Estimate
f(x)=xsquared - x + 5 to be the anticipated monthly profit of the restaurant in hundreds of dollars during the xth month of business. To break even your total profit from the opening of the restaurant must equal the total cost from the opening of the restaurant. At which month will you break even?

Solution Preview

To do this I set up an excel spreadsheet. This is the easiest way to do it. See attached. if you want to do it by hand see below.

y(1) = 1-1+5 = 5
y(2) ...

Solution Summary

A break-even point is found using tabulation of values and graphing. The solution is detailed and well presented. The response received a rating of "5" from the student who originally posted the question.