Linear Programming exercise using Simplex method. Three products are manufactured on a machine. The setup time of each product is 2, 3 and 4 minutes respectively, and the process time is 3, 2 and 1 minutes. The profit contributed by each product is respectively 12, 10 and 15 MU. There are 100 minutes of machine time and 200 minutes for machine setup. Determine the optimal number of units to manufacture of each item: 1.- Identify the decision variables that will represent the quantity of each product to be produced.2.- Formulate the linear programming problem to maximize the total profit subject to the given constraints.3.- Construct the simplex method tables step by step, showing the iteration process until the optimal solution is reached, clearly indicating the basic and non-basic variables, coefficients and values in each iteration.
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Linear Programming exercise using Simplex method.
Three products are manufactured on a machine. The setup time of each product is 2, 3 and 4 minutes respectively, and the process time is 3, 2 and 1 minutes. The profit contributed by each product is respectively 12, 10 and 15 MU. There are 100 minutes of machine time and 200 minutes for machine setup. Determine the optimal number of units to manufacture of each item:
1.- Identify the decision variables that will represent the quantity of each product to be produced.
2.- Formulate the linear programming problem to maximize the total profit subject to the given constraints.3.- Construct the simplex method tables step by step, showing the iteration process until the optimal solution is reached, clearly indicating the basic and non-basic variables, coefficients and values in each iteration.
