Q: 1 - 3 marks. Find the relative maxima and relative minima, if any, for the function f(a) = x2 - 24 x - 5Given the function f(:1:) = x2f3(6 3:)\"3. :ind the following: {a} the intervals where f(&2) is increasing and where f(&2) is decreasing; b] the relative extrema of f(&2), if any; c} the intervals where f(12) is concave upward and where f(&2) is concave downward; and d] all the inflection pointls} of f($) if any. Find the global maximum and global minimum of the function x) : :1: sin(m) on the interval [0, 471-]. Suppose you make and sell doughnuts You sold about 200 doughnuts a week when the price of each doughnut was 5 dollars You discovered that when you increased the price of each doughnut by 5 dollars, your sales decreased by about 50 doughnuts per week (a) What is the demand function, assuming that it is linear? lb) ifit costs you 3 dollars to make each doughnut, what selling price would give you maximum profit weekly