Please answer the following question.

Consider the following LP problem developed at Zafar Malik's Carbondale, Illinois, optical scanning firm: MaximizeSubjectto:Z=2X1+1X2721X1+2X272X1,X201X1+1X2(C1) On the graph on right, constraints C1 and C2 have been plotted. a) Using the point drawing tool, plot all the corner points for the feasible area. The optimum solution is: X1=(roundyourresponsetotwodecimalplaces).X2=(roundyourresponsetotwodecimalplaces). Optimal solution value Z = (round your response to two decimal places). b) If a technical breakthrough occurred that raised the profit per unit of X1 to $3, due to this change, the optimal solution As a result of the technical breakthrough, the optimum solution is: X1=(roundyourresponsetotwodecimalplaces).X2=(roundyourresponsetotwodecimalplaces). Optimal solution value Z = (round your response to two decimal places). c) If the impact of technical breakthrough was incorrectly determined and instead of X1 profit coefficient increasing to $3 it only increases to $1.20. As a result of this correction, the optimal solution found originally