# Basic algebra: find break-even point

1. Jan 16, 2013

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1. The problem statement, all variables and given/known data

Mike make shirts. He has fixed daily costs of $150. It costs an additional$3 to make each shirt. He would like to make a profit of $750 a day making shirts. If he can make 24 shirts a day, how much must he charge to meet his goal? Find break even point. 2. Relevant equations c(x) = 3x + 150 p = r(x) - c(x) 3. The attempt at a solution 1) p = r(x) - c(x) p = r(x) - c(24) 750 = r(x) - 222 750 = 972 - 222 972 = r(24) r = 40.5 r(x) = 40.5x He must charge$40.50.

2)40.5x = 3x + 150
37.5x = 150
x = 4