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The maximum problem is in standard form. Introduce slack variables and set up the initial simplex tableau. Maximize P = 5x, + 6x + x, subject to the constraints ≤ 50 X1 + X2 + X3 6X1 + 5x2 + X3 X1 > 0, xy > 0, x320 $ 20 The initial simplex tableau is BV P X₁ x2 RHS 50 自白金白菜 20 Sz P 1

The maximum problem is in standard form. Introduce slack variables and set up the initial simplex tableau. Maximize P = 5x, + 6x + x, subject to the constraints ≤ 50 X1 + X2 + X3 6X1 + 5x2 + X3 X1 > 0, xy > 0, x320 $ 20 The initial simplex tableau is BV P X₁ x2 RHS 50 自白金白菜 20 Sz P 1

College Algebra
College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter8: Sequences, Series,and Probability
Section: Chapter Questions
Problem 10CT: Sketch the region corresponding to the system of constraints. Then find the minimum and maximum...
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Subject: Algebra: Linear Programming

The maximum problem is in standard form. Introduce slack variables and set up the initial simplex tableau. Maximize P = 5x + 6x₂ + x subject to the constraints X1 + x2 + x3 6x1 + 5x₂ + x3 X₁20, X₂20, X3 20 S₁ 0 s, 0 P The initial simplex tableau is BV P X₁ ≤ 50 1 Mixture Problem ≤20 X₂ S₁ of Can I should be made. of Can II should be made. of Can III should be made. S₂ How many cans of each kind should be made to maximize revenue? RHS 50 20 Nutt's Nut Company has 1000 pounds of peanuts, 130 pounds of pecans, and 70 pounds of cashews on hand. They package three types of 5-pound cans of nuts: Can I contains 3 pounds of peanuts, 1 pound of pecans, and 1 pound of cashews; Can II contains 4 pounds of peanuts, %½ pound of pecans, and ½ pound of cashews; and Can III contains 5 pounds of peanuts. The selling price is $22 for Can I, $23 for Can II, and $20 for Can III. 0
Transcribed Image Text:The maximum problem is in standard form. Introduce slack variables and set up the initial simplex tableau. Maximize P = 5x + 6x₂ + x subject to the constraints X1 + x2 + x3 6x1 + 5x₂ + x3 X₁20, X₂20, X3 20 S₁ 0 s, 0 P The initial simplex tableau is BV P X₁ ≤ 50 1 Mixture Problem ≤20 X₂ S₁ of Can I should be made. of Can II should be made. of Can III should be made. S₂ How many cans of each kind should be made to maximize revenue? RHS 50 20 Nutt's Nut Company has 1000 pounds of peanuts, 130 pounds of pecans, and 70 pounds of cashews on hand. They package three types of 5-pound cans of nuts: Can I contains 3 pounds of peanuts, 1 pound of pecans, and 1 pound of cashews; Can II contains 4 pounds of peanuts, %½ pound of pecans, and ½ pound of cashews; and Can III contains 5 pounds of peanuts. The selling price is $22 for Can I, $23 for Can II, and $20 for Can III. 0
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