Question 1 Use the dual simplex method to solve the following problem.
Question 2 Using slack variables 𝑥4 and 𝑥5 for the respective constraints, the optimal simplex tableau yields the
following final set of equations: (Hint: you can create the optimal tableau by extracting the coefficients)
Question 3 Let 𝑥3 and 𝑥4 denote the slack variables for the respective functional constraints. When 𝑐1 = 3, 𝑐2 =
−2, 𝑏1 = 30, and 𝑏2 = 10, the simplex method yields the following final simplex tableau.
Use sensitivity analysis to determine the allowable range for 𝑏1 and also 𝑏2.
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