The daily profit, P dollars, of a ice cream vendor is mode-led by the equation P = -60(x-3)2+ 140, where x is the price of a cone. What should the price be to maximize the daily profit? What is the maximum daily profit?

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A: Use quadratic functions. Suppose that the equation p(x) = -2x2 + 280x - 1000, where x represents the…

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A: Here is the solution of the given problem. Maximum Profit Function.

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A: To determine the maximum profit of ice cream.

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A: This question is related to price and cost functions, we will solve it using given information.

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A: Given

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A: Explained below...

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A:

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A: for maximize profit put p'(x)=0.

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A:

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A:

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A: As per bartleby guidelines we only give first three questions answers.

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A: given,        Px=3500x+80x2-x3-108000

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A:

Q: 3. The total profit (in thousands of dollars) from the sale ofx hundred thousand automobile tires is…

A: Explanation of the answer is as follows

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A: Given that: P(x)=32x-0.2x2-200

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A: Solution of question as follows

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A:

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A: Hello! thank you for the question but as per our honor code, we'll able to solve only the first…

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A: See the details solution in below

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A: P = 1600-100x +x2a) for minimum profit dPdx =0dPdx= -100+2x = 0        dPdx<0 till   x = 50⇒x =…

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