14a) Find the relative maximum, relative minimum, and saddle point

14b) Find the relative maximum, relative minimum, and saddle point

14c) Find x and y units & the maximum weight

14d) Find brands 1 and 2 units & maximum profit.

Find the function's relative maxima, relative minima, and saddle points, if they exist. (If an answer does not exist, enter DNE.) z = 4 - x2 - y relative maximum ( x, y, z) = ( relative minimum saddle point ( x , y . 2 - ( 2 ( x, y, z) = ( DETAILS HARMATHAP12 14.4.005. MY NOTES ASK YOUR TEACHER Find the function's relative maxima, relative minima, and saddle points, if they exist. (If an answer does not exist, enter DNE.) z = x2 - y2+ 8x - 6y + 19 relative maximum ( x, y, z) = (L relative minimum saddle point ( x, y . 2 - ( ? (x, y, z) = ( DETAILS HARMATHAP12 14.4.011.MI. MY NOTES ASK YOUR TEACHER Find the function's relative maxima, relative minima, and saddle points, if they exist. (If an answer does not exist, enter DNE.) z= 16 -x2+ xy -x2+24y relative maximum relative minimum ( x, y . 2) - ( ? saddle point ( x, y, z) = ( DETAILS HARMATHAP12 14.4.021. MY NOTES ASK YOUR TEACHER A new food is designed to add weight to mature beef cattle. The weight in pounds is given by W = 10xy(20 - x - 2y), where x is the number of units of the first ingredient and y is the number of units of the second ingredient. How many units of each ingredient will maximize the weight? units units What is the maximum weight? (Round your answer to the nearest whole number.) DETAILS HARMATHAP12 14.4.025. MY NOTES ASK YOUR TEACHER Suppose that a manufacturer produces two brands of a product, brand 1 and brand 2. Suppose the demand for brand 1 is x = 85 - p1 thousand units and the demand for brand 2 is y = 95 - p2 thousand units, where p1 and p2 are prices in dollars. If the joint cost function is C = xy, in thousands of dollars, how many of each brand should be produced to maximize profit? brand 1 thousand units brand 2 thousand units What is the maximum profit? thousand dollars