Question: Suppose there is a Maximization linear program where all the decision variables are constrained to be 0. There are p constraints of the form 5,

Suppose there is a Maximization linear program where all the decision variables are constrained to be 0. There are

p constraints of the form 5,

q constraints of the form = 7 and

r constraints of the form 8.

(So there are p + q + r functional constraints in total).

If it is to solve with the big-M method, the Simplex tableau is set up to obtain the initial, artificial basic feasible solution.

(a) What will the Z value (i.e. the objective function value) be of the initial, artificial basic feasible function, expressed as a function of p, q, r and M? Describe this.

(b) Consider the initial, artificial basicfeasible solution. Which variables will be in the basis? What will their values be?

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