45. PROFIT Suppose that when the price of a certain commodity is p dollars per unit, then x hundred units will be purchased by consumers, where p = 0.05x + 38. The cost of producing x hundred units is C(x) = 0.02x² + 3x + 574.77 hundred dollars. a. Express the profit P obtained from the sale of x hundred units as a function of x. Sketch the graph of the profit function. b. Find the average profit AP when the price is $37 per unit. c. Use the profit curve found in part (a) to determine the level of production x that results in maximum profit. What unit price p corresponds to maximum profit?

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A: given number of people probability 1 0.25 2 0.32 3 ? 4 ? 5 0.07 6 0.03 7+ 0.01…

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A: COst function C(x) = 0.001x3+0.2x2+38x+250where x = no. of items producedNow, if x = 30 then C(x) =…

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Q: Explain the concept of extraneous solutions.

A: Extraneous solution

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A: Apologies for the inconvenience.   We graph the given equations using graphing calculator.

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Q: How do you tell if a solution is an extraneous solution?

A: Solve the given problem.

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A: Taking the results from your answer

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A: Given that: The table ,

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A: Step 1: Step 2: Step 3: Step 4:

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A: The given is:

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