Please answer this correctly, I will give a thumbs up! Graph the feasible region subject to the following constraints:4z + 16y≤ 80020z +40y≤ 2400I 20y≥0First, graph the boundaries of the region using the labeled lines, then drag the shading options point to reflect the correctfeasible region. Note that you need to graph the lines according to the constraint they are labeled with.Provide your answer below:4x+16y<=800RESET5020x+40y<=2400100Shading Options150250

Consider the constraints,The objective is to graph the feasible region subject to the given constarints.Use the x intercepts and y intercepts for finding the feasible region.The x intercepts occur when and the y-intercepts occur when .Given constraints,For the equation find the intercept points as follows: For ,So the point is .For ,So the point is .For the equation find the intercept points as follows:For ,So the point is .For ,So the point is .Sketch the graph of the lines as follows (the solid line corresponds to and the dotted line corresponds to )Consider the inequality ,So the boundary line would be solid and it would be the line .The inequality is grater than or equal to so shade it to the right.Consider the inequality ,So the boundary line would be solid and it would be the line .The inequality is grater than or equal to so shade above the horizontal line.Sketch the graph of the feasible region as follows:The feasible region is the shaded region.The graph of the feasible region as follows: