Find the xvalue(s) of the relative maxima and relative minima, if any, of the function. (If an answer does not exist, enter DNE.) f(x)=%.x26x+1 relative maxima: relative minima: Need new TANAPCALC104.1.070. MY NOTES I | PRACTICE ANOTHER Find the relative maxima and relative minima, if any, of the function. (If an answer does nut exist, enter ONE.) 12. [2 Points] f(x)=x+3+4 X relative maximum (x, y) = ( ) relative minimum (x, y) = ( ) Need Help? _ 13. [2 Points] TANAPCALC10 4.1 .078.MI. PRACTICE ANOTHER Prot Function for Producing Thermometers The Mexican subsidiary of TherrnoMaster manufactures an indoor-outdoor thermometer. Management estimates that the prot (in dollars) realizable by the company for the manufacture and sale ofx 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) = 0.005;:2 + 2x 5,000 Increasing: Decreasing: Need Help? TANAPCALC\") 43.045. MY NOTES I | PRACTICE ANOTHER Maximizing Prots The weekly demand for DVDs manufactured by a certain media corporation is given by 14. [I1 Points] p = 41.0005):2 + 55 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) = -C|.C|01x2 + 18x + 2500 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 quadratlc formula. (Round your answer to the nearest Integer.) X = :1 DVDS Need Help? 15. [f2 Points] TANAPCALC10 4.R.047. P RACTICE AN OTHER Mlnlmlzlng 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) = (1.001x2 + 150x + 15000. (a) Find the average cost function E. E = (b) Determine the production level that will result in the smallest average production cost