Question: Question (3): Referred to the below table, solve the following problem: (10 marks) X1 X2 Availability per month Constraint 1 1 N 2 45 Constraint

Question (3): Referred to the below table, solve the following problem: (10 marks) X1 X2 Availability per month Constraint 1 1 N 2 45 Constraint 2 3 3 87 Constraint 3 2 1 50 Maximize profit 50 20 Required: a- Formulate the problem as linear program. (Objective function- your own decision variables- Constraints). (4 marks) b- Draw the problem graphically and assign the feasible region and the optimal point on the graph. (3 marks) C- Determine the profit value. (2 mark) d- What is the slack for constraint (1)? (1 mark)

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