Advanced Engineering Mathematics
10th Edition
ISBN: 9780470458365
Author: Erwin Kreyszig
Publisher: Wiley, John & Sons, Incorporated
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- Use the simplex method to solve the following. z = 3x₁ + 3x₂ - 6x3 5x₁ + 5x₂ - 10x3 ≤ 75 6x₁ + 6x₂ + 12x3 ≤ 104 X₁ ≥ 0, X₂ ≥0, X3 ≥ 0. Maximize subject to Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. Treating x₂ as a nonbasic variable, the maximum is x₁ =₁ X₂ = ‚ X3: S₁ = 0 and $₂ B. There is no maximum solution for this problem. whenarrow_forwardUse the simplex method to solve. The maximum is z = (Simplify your answers.) Maximize z=3x1 +2x2 + 2x3 subject to: x₁ + x2 + 2x3 ≤38 2x1 + x2 + x32 29 X₁ 20, X₂20, X3 20 with when x₁ = x₂ =, and x3 = | Iarrow_forwardMail 4. A colleague approaches you with the following simplex tableau: Mar 10, 2022, 8:58 AM Inbox 275 MI hospital all of Monday, Feb t Starred 0 72 0 60 1 4 Snoozed 5 1 0 0 Sent 1 1 1 1 0 22 3 -2 0 -4 1 140 r 19, 2022, 6:43 PM - Chat (a) tableau. Write down these variables, and give their values. Your colleague does not remember which variables to list in the first column of the ons! If we were to solve this problem using the simplex method, what would be the (b) next pivot element? Justify your answer No conversations Start a chatarrow_forward
- SIMPLEX METHOD Min C = 3X1 + 7X2 + 5X3 Subject to: X1 + X2 + X3 ≥ 50 2X1 + 3X2 + X3 > 100 X1, X2, X3 ≥ 0 8. What is the pivot element/number? a. 2/3 b. 1/3 c. 1arrow_forwardUse the Simplex method to solve this problem when a = 1. Hint: does the LPP have an optimal solution in this case?arrow_forward
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