Question

Considere el problema dado:

Maximizar: Z = 2X1 + 4X2 + 3X3,
Sujeto a:
3X1 + 4X2 + 2X3 ≤ 60
2X1 + X2 + 2X3 ≤ 40
X1 + 3X2 + 2X3 ≤ 80
Y,
X1, X2, X3 ≥ 0
Resuelve usando el método símplex.

Answer 1

To solve the problem using the simplex method, follow a series of steps: convert inequalities into equalities, write the objective function as a maximization problem, create the initial simplex tableau, use the simplex method to find the optimal solution, and interpret the solution.

Step-by-step explanation:

To solve this problem using the simplex method, we need to follow a series of steps:

1. Convert the inequality constraints into equality constraints by adding slack variables.
2. Write the objective function as a maximization problem.
3. Create the initial simplex tableau.
4. Use the simplex method to iterate and find the optimal solution.
5. Interpret the solution and identify the optimal values for the decision variables.

In this case, we have three decision variables: X1, X2, and X3. By applying the simplex method to the given problem, we can find the optimal solution that maximizes the objective function Z = 2X1 + 4X2 + 3X3 subject to the given constraints.