In: Math
4. When the ticket price for a concert at the opera house was $50, the average attendance was 4000 people. When the ticket price was 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. Find the price that maximizes the revenue. d. Find the maximum revenue.
5. Find the derivative of ? a. ? = (5? + 3) 2(2? + 1) 4 using the product rule. Factor final answer as much as possible. b. ? = 3? 2−5?+2 4?+1 using the quotient rule. Clean up the numerator but do not factor it.