Solve the following Linear Programming Problems using Simplex Method Max Z= 40X1+10X2+5X3 Subject to:
2 X1−3 X2+z=19
−3 X1+ X2−2 X3=−15
X1+ X2+ X3=0
X1, X2, X3 ≥ 0

Graph the system of inequalities presented here on your own paper, then use your graph to answer the following questions: y < 4x − 8 y is greater than or equal to negative 5 over 2 times x plus 5 part a: describe the graph of the system, including shading and the types of lines graphed. provide a description of the solution area. (6 points) part b: is the point (5, −8) included in the solution area for the system? justify your answer mathematically. (4 points)