SOLUTION: could you help me to do this problem- You invest $10,000 in equipment to manufacture a new board game. Each game costs $2.65 to manufacture and sells for $20. how many games must y

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: could you help me to do this problem- You invest $10,000 in equipment to manufacture a new board game. Each game costs $2.65 to manufacture and sells for $20. how many games must y      Log On


   

Question 823177: could you help me to do this problem- You invest $10,000 in equipment to manufacture a new board game. Each game costs $2.65 to manufacture and sells for $20. how many games must you make and sell to break even?
Answer by TimothyLamb(4379) About Me  (Show Source):
You can put this solution on YOUR website!
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gross profit per game = 20 - 2.65 = 17.35
net profit equation:
p(x) = (17.35)x - 10000
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break even:
p(x) = 0 = (17.35)x - 10000
(17.35)x = 10000
x = 10000/(17.35)
x = 576.369
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you must sell 577 games to break even
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