Question 1 1 pts The demand for a product is q = 43p-2 items when each item costs p dollars. What is the price elasticity of demand? D Which are the possible locations of absolute extrema for a continuous function f(x) on the interval [a, b]? Select all that apply. Consider the following scenario: Demand for a product is the function f (x) items, where x is the price per item. The manufacturer wants to get the largest A critical point x = c that is inside the interval [a, b]. possible revenue. Which is the mathematical goal for the manufacturer? 0 x =b O Maximize x . f (x) x =a Maximize x O Maximize f (x) A critical point x = c that is outside the interval [a, b]. O Minimize x . f (x) Any point x = c that is inside the interval [a, b]. O Minimize f (x) O Minimize x nanswered Question 2 0 / 1 pts Question 2 1 pts Find the absolute extrema of the function f(x) = 2x3-9x2 - 60x + 12 on the interval [-1, 6]. The demanded price for a product is p (q) = 12 - q - 0.1q2 dollars per item when q items are sold every hour. Total hourly cost is (x) has an absolute minimum of at x = C (q) = -0.01q2 + 0.5q + 10. What is the maximum hourly profit? Round your answer to two decimal places. f(x) has an absolute maximum of at x =