Question: Consider the following LP problem. Minimize z = 6 x 1 + 6 x 2 + 5 x 3, Subject to Constraint 1: 7 x

Consider the following LP problem.

Minimize z = 6x1 + 6x2 + 5x3,
Subject to
Constraint 1: 7x1 + 6x2 + 4x3 50,
Constraint 2: 10x1 + 13x2 + 14x3 150,
Constraint 3: x1,x2,x3 0,

where x1, x2, and x3 represent the decision variables. Solve the LP problem to answer the following questions.

a-1. What are the values of x1, x2, and x3 at the optimal solution?

Note: Round your answers to 2 decimal places.

a-2. What is the minimum value of z?

Note: Round your answers to 2 decimal places.

b. Identify the binding and nonbinding constraints and report the surplus value, as appropriate.

Note: If the answer to constraints is "Non-Binding" enter surplus value to 2 decimal places or leave cells blank.

c. Report the values and ranges of feasibility of the shadow price of each binding constraint. Interpret the results.

Note: Round your answers to 2 decimal places.

d. What is the range of optimality for the three objective function coefficients? Interpret the results.

Note: Round your answers to 2 decimal places.

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