SOLUTION: You are starting a business that sells air filters for homes. Your startup costs for the business are 1250 and each air filter costs $40. If u sell the filters for 60$ how many mus

Algebra ->  Expressions-with-variables -> SOLUTION: You are starting a business that sells air filters for homes. Your startup costs for the business are 1250 and each air filter costs $40. If u sell the filters for 60$ how many mus      Log On


   

Question 951889: You are starting a business that sells air filters for homes. Your startup costs for the business are 1250 and each air filter costs $40. If u sell the filters for 60$ how many must you sell to break even?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
The break-even point is where
cost, +c+ = revenue +r+
Let +n+ = number sold
+c+=+1250+%2B+40n+
+r+=+60n+
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+c+=+r+
+1250+%2B+40n+=+60n+
+20n+=+1250+
+n+=+62.25+
You can't sell 1/4 of of air filter, so
you need to sell +63+ to
break even
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Here's plots of +c%28x%29+ and +r%28x%29+:
+graph%28+400%2C+400%2C+-10%2C+80%2C+-500%2C+5000%2C+40x+%2B+1250%2C+60x+%29+