Solve the equation below and inform the working speed of the tractor to obtain the maximum and lowest corn productivity. (0.5 point) y= -5x2+48.8x-45 Maximum productivity (sacks/ha) = ______; Speed (km/h) = _______ Minimum productivity (sacks/ha) = ______; Speed (km/h) = _______

The given equation y = -5x^2 + 48.8x - 45 represents a parabola that opens downwards, since the coefficient of the x^2 term is negative. The maximum value of y (maximum productivity) occurs at the vertex of the parabola. The x-coordinate of the vertex can be calculated using the formula x = -b/(2a), where a and b are the coefficients of the x^2 and x terms, respectively. Substituting the values of a = -5 and b = 48.8, we get x = -48.8/(2 * -5) = 4.88. Substituting this value of x into the given equation, we get the maximum value of y: y = -5 * 4.88^2 + 48.8 * 4.88 - 45 = 74.072 Since the parabola opens downwards, there is no minimum value of y Maximum productivity (sacks/ha) = 74.072; Speed (km/h) = 4.88