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Charlie estimates that if he charges x dollars per birdhouse, he can sell 87-4x birdhouses per week. Find a function for his weekly profit.

User Yayuj
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Final answer:

The profit function for Charlie's weekly profit, when charging x dollars per birdhouse, is P(x) = 87x - 4x^2, where P(x) represents the profit and x represents the price per birdhouse.

Step-by-step explanation:

The question is asking to find a function for Charlie's weekly profit based on the charge x dollars per birdhouse and the fact that he can sell 87-4x birdhouses per week. To determine the profit function, we multiply the price per birdhouse x with the number of birdhouses sold 87-4x. This results in the profit function P(x) = x(87-4x). Expanding this, we get P(x) = 87x - 4x2, which is a quadratic function representing Charlie's profit.

User Seema
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