Problem. 14 : Use differentials to estimate the change in f when the point (x, 3;) changes from (1, 1) to (1.01, 0.95). (Round your answer to three decimal places.) ay) = 58\" I Problem. 15 : Gator FanStuff manufacurm and sells a: tailgate canopies and y coolers per week. The total weekly prot [in dollars) realized from these sales is given by the function P(:E, y) : 4.20.1:2 0.25 y2 0.10 my + 70 x + 60 y3900. Currently, the weekly output is 186 canopies and 115 coolers. Use differentials to estimate the change in weekly prot at? if management decides to increase the number of canopies to 191 and decrease the number of coolers to 107. (Round your answer to the nearest dollar.) Problem. 16 : Gator Golf Carts has determined that it takes :1: units of labor and 3) units of capital to produce f (x, y) units of its product, where it, y) = 70 9:3\" 92'5- Find the approximate change in output (if if the amount of labor is decreased from 60 to 55 units and the amount of capital is increased from 210 to 211 units. (Round your answers to two decimal places.)