Question 4 and Question 5

4. In each case, find the absolute extrema of f(x) in the given interval. 2 THE UNIVERSITY OF BRITISH COLUMBIA OKANAGAN MATH 116 - C (a) f(x) = 4x3 - 324 Inc on the interval [1, 4]. (b) f(x) =3.x3 - 336x3 on the interval [-3, 8]. 5. Suppose the cost (in dollars) of producing a units of a certain product is given 5x2 + 130 C(x) = 4.x + 5 (a) Find the marginal cost function. (b) Find the marginal cost when x = 10. Interpret your answer. (c) Find the average cost for each production level. (i) 10 units, (ii) 25 units. (d) Find the marginal average cost function. (e) Find the marginal average cost for the production level x = 50 units. (f) Assume the revenue function is given by R(x) = 8x + 150. Find the mar average profit function. i. Find the marginal average revenue function. ii. Find the marginal average profit function