A store sells bouquets of fruits for $10 a bouquet. The daily cost to produce x bouquets of fruits is defined by the function f(x) = – x 4 + 3x 3 + 5x 2 + 20x + 1.What is the least number of bouquets that must be sold for the store to make a profit?

Profit is revenue minus cost, and revenue from x bouquets is 10x dollars. At 4 bouquets, the cost is $97 while revenue is $40, so there is no profit. At 5 bouquets, the cost is −$24 and revenue is $50, so profit is $74; checking the smaller whole-number quantities shows none are profitable. The least number is 5 bouquets, choice C.

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