Calculus: Early Transcendentals
8th Edition
ISBN: 9781285741550
Author: James Stewart
Publisher: Cengage Learning
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Question
Solve the following LP using the simplex method:
Note: The constraint with the "=" sign in the simplex iteration is added with an artificial variable, so that it becomes 3x1 + x2 + A1= 3
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- minimize: subject to: ₁+ 2x2 x1 + 3x2 ≥ 11 2x1 + x2 ≥ 9 x1 and x2 > 0arrow_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_forwardPlease answer all three parts (a,b,c)arrow_forward
- Use the simplex method to solve the following simplex problems. a) Maximise 6x1 + 9x2 + 6x3 subject to 3x1 + 2x2 + x3 = 0.arrow_forwardConsider the problemMaximize z = x1 + 5x2 + 3x3subject tox1 + 2x2 + x3 = 62x1 - x2 = 8x1, x2, x3 >= 0The variable x3 plays the role of a slack. Thus, no artificial variable is needed in the firstconstraint. In the second constraint, an artificial variable, R, is needed. Solve the problemusing x3 and R as the starting variables.arrow_forwardApply the procedure for tightening constraints to the following constraint for a pure BIP problem: 2x₁ + 4x₂ - 6x3 ≤ 3arrow_forward
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