An objective function and a system of linear inequalities representing constraints are given. Complete parts (a) through (c). Objective Function zequals=3 x plus 4 y3x+4y Constraints left brace Start 3 By 1 Matrix 1st Row 1st Column x less than or equals 2 2nd Row 1st Column y greater than or equals 2 3rd Row 1st Column 4 x minus y greater than or equals minus 2 EndMatrix x2 y2 4xy2 Question content area bottom left Part 1 a. Graph the system of inequalities representing the constraints. Use the graphing tool to graph the system. Part 2 b. Find the value of the objective function at each corner of the graphed region. The values of the objective function are enter your response here. (Type integers or simplified fractions. Use a comma to separate answers as needed.) Part 3 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 zequals=enter your response here. (Type an integer or a simplified fraction.) Part 4 The maximum occurs at enter your response here. (Type an ordered pair.)