2) Minimize x + y subject to 2x + y < 6, x + y < 5, 2x + 3y < 6, x,y > 0
For the Linear Programming model given above, do the following:
a) Draw the graphical representation of the model indicating each constraint and the objective function clearly.
b) Identify the feasible region on the graph.
c) Identify all corner point solutions, indicating how you determine them verbally and also showing them on the graph.
d) Find the optimal solution to the given model using the corner point method. Show your equations and calculations.
e) Write the Matlab simlp function and solve the model with Matlab. Present your Matlab code with the solution obtained.