# Question: Consider the following problem Maximize Z x1 2x2 x3 Subject

Consider the following problem.

Maximize Z = –x1 + 2x2 +x3,

Subject to

(No nonnegativity constraints).

(a) Reformulate this problem so that all variables have nonnegativity constraints.

(b) Work through the simplex method step by step to solve the problem.

(c) Use a computer package based on the simplex method to solve the problem.

Maximize Z = –x1 + 2x2 +x3,

Subject to

(No nonnegativity constraints).

(a) Reformulate this problem so that all variables have nonnegativity constraints.

(b) Work through the simplex method step by step to solve the problem.

(c) Use a computer package based on the simplex method to solve the problem.

## Answer to relevant Questions

Repeat Prob. 4.1-4 for the following problem. Maximize Z = x1 + 2x2, Subject to and x1 ≥ 0, x2 ≥ 0. Reconsider the model in Prob. 4.1-5. Interpret the right-hand side of the respective functional constraints as the amount available of the respective resources. (a) Use graphical analysis as in Fig. 4.8 to determine the ...Repeat Prob. 4.9-1 for the model in Prob. 4.1-5. Repeat Prob. Label each of the following statements about linear programming problems as true or false, and then justify your answer. Consider the three-variable linear programming problem shown in Fig. 5.2. (a) Construct a table like Table 5.4, giving the indicating variable for each constraint boundary equation and original constraint.Post your question