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Published byRandall Bonsell Modified over 2 years ago

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At What Price? by Shermane King

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The Cookie Problem "The Fresh Bakery currently sells 1000 large chocolate chip cookies each week for $0.50 each. The bakery would like to increase its revenue from the cookie sales by increasing this price. A survey convinced the manager that for every $0.10 increase, the bakery would sell 70 fewer cookies each week. At what price should the cookies be sold to maximize the revenue to the bakery?

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Initial Solution xcookiespricerevenue 01000 $ 0.50 $ 500.00 1930 $ 0.60 $ 558.00 2860 $ 0.70 $ 602.00 3790 $ 0.80 $ 632.00 4720 $ 0.90 $ 648.00 5650 $ 1.00 $ 650.00 6580 $ 1.10 $ 638.00 7510 $ 1.20 $ 612.00 8440 $ 1.30 $ 572.00 9370 $ 1.40 $ 518.00

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Solution!!

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Connection to Secondary Mathematics Algebra I: create a table, analyze table, generate solution. Algebra II: find the vertex of the parabola.

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Extensions Given revenue find the price and amount of cookies Cost Profit = revenue – cost Change the problem completely

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The End

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