Question: Consider the following linear programming probleme Minimize Z=2x + 3x2 Subject to 2x VI VE AL X] 21 and xj 20 x2 unconstrained in sign

Consider the following linear programming

Consider the following linear programming probleme Minimize Z=2x + 3x2 Subject to 2x VI VE AL X] 21 and xj 20 x2 unconstrained in sign Let the slack of constraint (1) and (2) be x3 and Xe, respectively, and the surplus of constraint (3) be xs. Answer the following independent questions: (20 points) Solve the problem graphically by hand: Identify the feasible region by its comer points (coordinates x and x2) and shade it. Find the optimal point(s) on the graph and determine the optimal solution. 1

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