A market analyst working for a small-appliance manufacturer finds that if the firm produces and sells x blenders annually, the total profit (in dollars) is
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Graph the function P in an appropriate viewing rectangle and use the graph to answer the following questions.
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(a) When just a few blenders are manufactured, the firm loses money (profit is negative). (For example, , so the firm loses $283.30 if it produces and sells only 10 blenders.) Approximately how many blenders must the firm produce to break even? Round your answer to the nearest whole number.
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(b) Does profit increase indefinitely as more blenders are produced and sold?
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(c) If not, what is the largest possible profit the firm could have? Please round the answer to the nearest dollar.
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What will be an ideal response?
27; no; $3,256.22
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