rk2/Math-132-Elashvili-f23/quiz_mode/Timed_Quiz_8/PeffectiveUser=mSnunes Suppose we fix production at 32 goods produced, and that they all sell when the price is 6 dollars each. Also suppose that for each 1 dollar increase in price, 2 fewer goods are sold (so if the price sold.) To maximize profit in this case, we should ? the price by dollars . (Enter zero if the price should remain at 6 dollars.) Note: You can earn partial credit on this problem. Problem 4. (10 points) Suppose that f(z) - (2 + 5)(z - 1)? A) Find all critical values of f. If there are no critical values, enter -1000. If there are more than one, enter them separated by commas. Critical value(s) - (B) Use the second derivative test to find the x-coordinates of all local maxima of f. If there are no local maxima, enter -1000. If there are more than one, enter them separated by commas. Local maxima at = = (C) Use the second derivative test to find the r-coordinates of all local minima of f. If there are no local minima, enter -1000. If there are more than one, enter them separated by commas. Local minima at z - Note: You can earn partial credit on this problem. Problem 5. (20 points) NOTE: When using interval notation in WeBWork, remember that: You use 'INF' for oo and '-INF' for -co. And use 'U' for the union symbol. Enter DNE if an answer does not exist. f(x) = 23 - 4.5x2 - 12r + 3 a) Determine the intervals on which f is concave up and concave down. f is concave up on: WeBWork : Math-1