Consider the following problem (First convert the problem to a maximization problem like we did in class)

Min. Z = 3x₁ + 2x₂ + 7x₃

s.t. -x₁ + x₂ = 10

2x₁ - x₂ + x₃ 10

x₁, x₂, x₃ 0

Select the correct answer for the following questions

i. Construct the starting simplex table

ii. Identify the initial artificial basic feasible solution

iii. Identify the entering basic variable and the leaving basic variable.