PROBLEM 1. Consider the following problem. Maximize Z = x1 + 2x2 subject to x1 2 x2 2 x1 + x2 0 (a) Plot the feasible region and circle all the CPF solutions (use IOR Tutorial). (b) For each CPF solution, identify the pair of constraint boundary equations that it satisfies. Complete the following table when submitting your solution. I have populated one entry. Please note that the constraint boundary equations are equalities. CPF Solution Constraint Boundary Constraint Boundary (x1, x2) (0.2) Equation x1 = 0 (c) For each CPF solution, use this pair of constraint boundary equations to solve algebraically for the values of x1 and x2 at the corner point (show your work). (d) For each CPF solution, identify its adjacent CPF solutions. Complete the following table when submitting your solution. I have populated one entry CPF Solution Adjacent Point (x1, x2) (0.2) (x1, x2) (0,0) Equation x2 = 2 CPF Solution (x1, x2) (0.2) (e) For each pair of adjacent CPF solutions, identify the constraint boundary they share by giving its equation. Adjacent Point (x1, x2) (2,1) Complete the following table when submitting your solution. I have populated one entry. Please note that the constraint boundary equations are equalities. CPF Solution (x1, x2) (1,2) Shared Constraint Boundary x2 = 2

PROBLEM 1. Consider the following problem. MaximizeZ=x1+2x2subjecttox12x22x1+x23x1,x20 (a) Plot the feasible region and circle all the CPF solutions (use IOR Tutorial). (b) For each CPF solution, identify the pair of constraint boundary equations that it satisfies. Complete the following table when submitting your solution. I have populated one entry. Please note that the constraint boundary equations are equalities. (c) For each CPF solution, use this pair of constraint boundary equations to solve algebraically for the values of x1 and x2 at the corner point (show your work). (d) For each CPF solution, identify its adjacent CPF solutions. Complete the following table when submitting your solution. I have populated one entry (e) For each pair of adjacent CPF solutions, identify the constraint boundary they share by giving its equation. Complete the following table when submitting your solution. I have populated one entry. Please note that the constraint boundary equations are equalities