An objective function and a system of linear inequalities representing constraints are given. Complete parts (a) through (c). Objective Function z = 6x + 11y Constraints *+y= 11 x + 2y s 16 . . . a. Graph the system of inequalities representing the constraints on the given graph of the first Quadrant. Use the graphing tool to graph the system. Click to enlarge graph b. Find the value of the objective function at each corner of the graphed region bounded by the given constraints and the boundaries of the first Quadrant, x 2 0 and y 2 0. The values of the objective function areb. Find the value of the objective function at each corner of the graphed region bounded by the given constraints and the boundaries of the first Quadrant, x 2 and y 20. The values of the objective function are (Type integers or simplified fractions. Use a comma to separate answers as needed.) c. Use the values in part (b) to determine the maximum value of the objective function and the values of x and y for which the maximum occurs. The maximum value of z is z = (Type an integer or a simplified fraction.)The maximum value of z is z = (Type an integer or a simplified fraction.) The maximum occurs at (Type an ordered pair.)