SOLUTION: the manager of farmer's delight bought a load of watermelons for $750 and priced the watermelons so that he would make a profit of $2 on each melon. when all but 100 of the melons

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Question 466415: the manager of farmer's delight bought a load of watermelons for $750 and priced the watermelons so that he would make a profit of $2 on each melon. when all but 100 of the melons haad been sold, he broke even. how many did he buy originally?
Answer by solver91311(24713)   (Show Source): You can put this solution on YOUR website!


Let represent the number of watermelons purchased. Then is the cost per watermelon, and then is the sale price per watermelon. is the number sold to the breakeven point, so the revenue at the breakeven point is . To break even, total revenue must equal total cost:



Simplify and solve the resulting quadratic for the positive root.

John

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