Question: Problem 2: Consider the following minimization problem: Min TC = 4x1 + 2x2 s.t. 12x1 + 4x2 > 600 2x1 + 8x2 > 800 X1,

Problem 2: Consider the following minimization

Problem 2: Consider the following minimization problem: Min TC = 4x1 + 2x2 s.t. 12x1 + 4x2 > 600 2x1 + 8x2 > 800 X1, X2 > 0 (a) (b) (c) Graph the feasible region. Label your constraints. Are there any redundant constraints, and if so, which one/s? Label the extreme points of the feasible region. At each extreme point you are to state whether each x; and si are zero or non-zero. State the optimal values of X, X2 and TC. Show the objective function on your graph of part (a). Suppose the price of x2 (P2) increases to 4. What is the new optimal solution? Suppose the price of x2 (P2) increases to 18. What is the new optimal solution? State the values of the Xj (d) (e) (f) and si

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