Answer the following. (results to two decimal places) ret ered ed out of 19 ion You want to build a rectangular garden and using a river that runs through the land as a border. The fence on the side parallel to the river costs $ 2 per foot, while each fence perpendicular to the river costs $ 12 per foot. (no fence is required along the river). You have $ 620 and want to enclose the most area. Determine the dimensions and the largest possible area of ??your garden. In the figure, and the width of the pen (in feet), x represents the length of garden (in feet). 13 Finis TO a) Express A in terms of x and y: A = b) Express A as a function only in terms of x. A = c) Therefore, if we establish the optimization problem (in terms of x) we have: Maximize A = Subject to 5 X S2 additional questions that didn't fit in the picture are: Thus, the rectangular pen (whose area is maximum) deve tenel feet wide and feet high. f) Therefore, the maximum area that this pen can include is feet?

Contesta lo siguiente. (resultados a dos lugares decimales) Quieres construir un jardin rectangular usando como borde un rio que pasa por el terreno. La valla del lado paralelo al rio cuesta $ 2 por pies, mientras que cada valla perpendicular al rio cuesta $ 12 por pies. (no valla es requerida a lo largo del rio). Tu tienes $ 620 y quieres encerrar la mayor cantidad de area. Determina las dimensiones y el area mayor posible de tu jardin. En la figura, y el ancho del corral (en pies), x representa el largo del jardin (en pies). y X A X a) Expresar A en terminos de x e y: A = b) Expresar A en funcion solamente en terminos de x. A = c) Por lo tanto, si establecemos el problema de optimizacion ( en terminos de x) tenemos: Maximizar A = Sujeto a SX S d) La derivada de la funcion objetivo A es