Problem 2. Consider the following linear optimization problem. maximize subject to x1 + 2x2 + 4x3 + 8x4 + 16x5 x1 + 2x2

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Problem 2 Consider The Following Linear Optimization Problem Maximize Subject To X1 2x2 4x3 8x4 16x5 X1 2x2 1 (104.34 KiB) Viewed 14 times

Problem 2. Consider the following linear optimization problem. maximize subject to x1 + 2x2 + 4x3 + 8x4 + 16x5 x1 + 2x2 + 3x3 + 4x4 + 5x5 ≤ 2 7x15x2 3x3 - 2x4+x5 ≤ 0 X1, X2, X3, X4, X5 ≥ 0 Consider the situation in which x3 and 5 are basic, and all other variables are nonbasic. - (a) What are B and N? (b) What are b, CB, CN, AB, and AN? (c) Use matrices to calculate the dictionary for when x3 and 5 are basic. Show some matrix calculations. (d) Is this dictionary optimal? Explain your reasoning. Remark: Notice that using matrices gives you one way to quickly check if a solution is optimal.