10. [-/2 Points] DETAILS TANAPCALC10 4.1.043. You are given the graph of a function f. Determine the relative maxima and relative minima, if any. (If an answer does not exist, enter DNE.) W N X -1 1 2 3 -1 N relative minimum ( x, y ) = relative maximum ( x , y ) = Need Help? Read It Watch It 11. [-/1 Points] DETAILS TANAPCALC10 4.R.045. Maximizing Profits The weekly demand for DVDs manufactured by a certain media corporation is given by P = -0.0006x- + 75 where p denotes the unit price in dollars and x denotes the quantity demanded. The weekly total cost function associated with producing these discs is given by C(x) = -0.002x + 14x + 5000 where C(x) denotes the total cost (in dollars) incurred in pressing x discs. Find the production level that will yield a maximum profit for the manufacturer. Hint: Use the quadratic formula. (Round your answer to the nearest integer.) X = DVDs12. [-/1 Points] DETAILS TANAPCALC10 4.1.046. You are given the graph of the derivative, f', of the function fon an interval (a, b). Use this graph to determine where the graph of f is increasing, where f is constant, and where f is decreasing. y' =f'(x) Of is decreasing on the interval (a, c), decreasing on the interval (c, d) and increasing on the interval (d, b). O f is constant on the interval (a, c), decreasing on the interval (c, d) and decreasing on the interval (d, b). Of is increasing on the interval (a, c), decreasing on the interval (c, d) and decreasing on the interval (d, b). Of is decreasing on the interval (a, c), decreasing on the interval (c, d) and constant on the interval (d, b). Of is increasing on the interval (a, c), decreasing on the interval (c, d) and increasing on the interval (d, b). Need Help? Read It 13. [-/2 Points] DETAILS TANAPCALC10 4.R.047. Minimizing Average Cost The total monthly cost (in dollars) incurred by a certain guitar manufacturer in manufacturing x units of its Professional Series guitars is given by the function C(x) = 0.001x2+ 90x + 9000. (a) Find the average cost function C. "b) Determine the production level that will result in the smallest average production cost. X =14. [-/2 Points] DETAILS TANAPCALC10 4.1.056. Find the x-value(s) of the relative maxima and relative minima, if any, of the function. (If an answer does not exist, enter DNE.) 2' ((x) = _x2 - 9x + 5 relative maxima: X = relative minima: X Need Help? Read It Watch It 15. [-/2 Points] DETAILS TANAPCALC10 4.1.067. Find the relative maxima and relative minima, if any, of the function. (If an answer does not exist, enter DNE.) F(t) = 3t - 5t3 + 12 relative maximum ( x, y ) = relative minimum ( x, y ) =16. [-/2 Points] DETAILS TANAPCALC10 4.1.070. MY NOTES PRACTICE ANOTH Find the relative maxima and relative minima, if any, of the function. (If an answer does not exist, enter DNE.) (( x ) = x + - + 7 relative maximum ( x, y ) = ( relative minimum (x, y) = Need Help? Read It 17. [-/2 Points] DETAILS TANAPCALC10 4.1.078.MI. MY NOTES PRACTICE ANOTH Profit Function for Producing Thermometers The Mexican subsidiary of ThermoMaster manufactures an indoor-outdoor thermometer. Management estimates that the profit (in dollars) realizable by the company for the manufacture and sale of x units of thermometers each week is represented by the function below, where x 2 0. Find the interval where the profit function P is increasing and the interval where P is decreasing. (Enter your answer using interval notation.) P(x) = -0.002x2+ 6x - 5,000 Increasing: Decreasing:18. [-/3 Points] DETAILS TANAPCALC10 4.1.084. Average Cost for Producing MP3s The average cost (in dollars) incurred by a media company each week in pressing x compact discs is given by the following equation. C(x) = -0.0003x + 5+ - 4000 (0