An objective function and a system of linear inequalities representing constraints are Objective Function z = 6x + 5y Constraints x 20 y 20 x-ys3 x+ys5 a) Graph the system of inequalities representing the constraints. b) Find all corner points: c) Use the values of corner points to determine the maximum value of the objective funYou throw a ball straight up from a rooftop. The ball misses the rooftop on its way down and eventually strikes the ground. A mathematical model can be used to describe the relationship for the ball's height above the ground, y, after x seconds. Consider the following data: x, seconds after | y, ball's height, in feet, ball is thrown above the ground 114 166 90 Find the quadratic function y = ax2 +bx + c whose graph passes through the given points. Please show all your work in order to receive full credits! No Calculator! N