4. When the ticket price for a concert at the opera house was $50, the average...

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4. When the ticket price for a concert at the opera house was$50, the average attendance was 4000 people. When the ticket pricewas raised to $52, the average attendance was 3800 people. a.Assuming the demand function is linear, find the demand function,p. b. Find the number of tickets sold that maximize the revenue.Use the second derivative test to verify it is a maximum. c. Findthe price that maximizes the revenue. d. Find the maximumrevenue.

5. Find the derivative of ? a. ? = (5? + 3) 2(2? + 1) 4 usingthe product rule. Factor final answer as much as possible. b. ? =3? 2−5?+2 4?+1 using the quotient rule. Clean up the numerator butdo not factor it.

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