Can someone please go through these so I can check my work?

7x Find the absolute extrema if they exist, as well as all values of x where they occur, for the function f(x) = x - + 6 Select the correct choice below and, if necessary, fill in the answer boxes to complete your choice. O A. The absolute maximum is , which occurs at x = (Round the absolute maximum to two decimal places as needed. Type an exact answer for the value of x where the maximum occurs. Use a comma to separate answers as needed.) O B. There is no absolute maximum. Select the correct choice below and, if necessary, fill in the answer boxes to complete your choice. O A. The absolute minimum is , which occurs at x=. (Round the absolute minimum to two decimal places as needed. Type an exact answer for the value of x where the minimum occurs. Use a comma to separate answers as needed.) O B. There is no absolute minimum.For a certain product: cost C and revenue R are given as follows: where x is the number of units sold in hundreds. Cost: :32 =33 +11u+54 Revenue: sssrx 332 + and2 = 1am dC a. Find the marginal cost E at x = 3. The marginal cost is estimated to be $|:|. [Do not round until the nal answer. Then round to the nearest hundredth as needed] dR h. Find the marginal revenue a at x = 3. The marginal revenue is estimated to be $|:|. [Do not round until the nal answer. Then round to the nearest hundredth as needed] Complete parts a through f below to find nonnegative numbers x and y that satisfy the given requirements. Give the optimum value of P. x + y=84 and P =x y is maximized a. Solve x + y = 84 for y. y = 1 b. Substitute the result from part a into the equation P = x y for the variable that is to be maximized. P = 0 c. Find the domain of the function P found in part b. (Simplify your answer. Type your answer in interval notation.) d. Find dP . Solve the equation dP dx =0 Solve the equation. x=(Use a comma to separate answers as needed.) e. Evaluate P at any solutions found in part d, as well as the endpoints of the domain found in part c. Find P(0). P(0) = (Simplify your answer.) Determine P(56). P(56) = (Simplify your answer.) Find P(84). P(84) = (Simplify your answer.) f. Give the maximum value of P, as well as the two numbers x and y for which x y is that value. The maximum value of P is|