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Math Algebra Thomas' Calculus and Linear Algebra and Its Applications Package for the Georgia Institute of Technology, 1/e

The following questions relate to the Shady-Lane grass seed company from Example 1 in Section 9.2. The canonical linear programming problem can be stated as follows: Maximize 2 x 1 + 3 x 2 subject to 3 x 1 + 2 x 2 ≤ 1200 (fescue) x 1 + 2 x 2 ≤ 800 (rye) x 1 + x 2 ≤ 450 (bluegrass) and x 1 ≥ 0, x 2 ≥ 0. 1. State the dual problem.

The following questions relate to the Shady-Lane grass seed company from Example 1 in Section 9.2. The canonical linear programming problem can be stated as follows: Maximize 2 x 1 + 3 x 2 subject to 3 x 1 + 2 x 2 ≤ 1200 (fescue) x 1 + 2 x 2 ≤ 800 (rye) x 1 + x 2 ≤ 450 (bluegrass) and x 1 ≥ 0, x 2 ≥ 0. 1. State the dual problem.

Solution Summary: The author states the canonical form of the primal linear programming problem.

Thomas' Calculus and Linear Algebra and Its Applications Package for the Georgia Institute of Technology, 1/e

Thomas' Calculus and Linear Algebra and Its Applications Package for the Georgia Institute of Technology, 1/e

5th Edition

ISBN: 9781323132098

Author: Thomas, Lay

Publisher: PEARSON C

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Textbook Question

Chapter 9.4, Problem 1PP

The following questions relate to the Shady-Lane grass seed company from Example 1 in Section 9.2. The canonical linear programming problem can be stated as follows:

Maximize 2x₁ + 3x₂

subject to 3x₁ + 2x₂ ≤ 1200 (fescue)

x₁ + 2x₂ ≤ 800 (rye)

x₁ + x₂ ≤ 450 (bluegrass)

and x₁ ≥ 0, x₂ ≥ 0.

1. State the dual problem.

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Chapter 9.3, Problem 18E

Chapter 9.4, Problem 2PP

Chapter 9 Solutions

Thomas' Calculus and Linear Algebra and Its Applications Package for the Georgia Institute of Technology, 1/e

Ch. 9.1 - Find the optimal strategies and the value of the...Ch. 9.1 - Player R has a supply of dimes and quarters....Ch. 9.1 - Prob. 2E Ch. 9.1 - In the traditional Japanese childrens game janken...Ch. 9.1 - Prob. 4E Ch. 9.1 - Prob. 5E Ch. 9.1 - Find all saddle points for the matrix games in...Ch. 9.1 - Find all saddle points for the matrix games in...Ch. 9.1 - Find all saddle points for the matrix games in...Ch. 9.1 - Prob. 9E

Ch. 9.1 - Prob. 10E Ch. 9.1 - In Exercises 11-18, find the optimal row and...Ch. 9.1 - In Exercises 11-18, find the optimal row and...Ch. 9.1 - In Exercises 11-18, find the optimal row and...Ch. 9.1 - In Exercises 11-18, find the optimal row and...Ch. 9.1 - In Exercises 11-18, find the optimal row and...Ch. 9.1 - Prob. 16E Ch. 9.1 - In Exercises 11-18, find the optimal row and...Ch. 9.1 - In Exercises 11-18, find the optimal row and...Ch. 9.1 - In Exercises 21 and 22, mark each statement True...Ch. 9.1 - In Exercises 21 and 22, mark each statement True...Ch. 9.1 - Find the optimal strategies and the value of the...Ch. 9.1 - Bill and Wayne are playing a game in which each...Ch. 9.1 - Consider the matrix game A=[abcd] where A has no...Ch. 9.2 - Consider the following problem: Maximize 2x1 + x2...Ch. 9.2 - Graph the feasible set for Practice Problem 1.Ch. 9.2 - Find the extreme points of the feasible set in...Ch. 9.2 - Use the answer to Practice Problem 3 to find the...Ch. 9.2 - Betty plans to invest a total of 12,000 in mutual...Ch. 9.2 - A dog breeder decides to feed his dogs a...Ch. 9.2 - In Exercises 3-6, find vectors b and c and matrix...Ch. 9.2 - In Exercises 3-6, find vectors b and c and matrix...Ch. 9.2 - In Exercises 3-6, find vectors b and c and matrix...Ch. 9.2 - In Exercises 3-6, find vectors b and c and matrix...Ch. 9.2 - In Exercises 7-10, solve the linear programming...Ch. 9.2 - In Exercises 7-10, solve the linear programming...Ch. 9.2 - Prob. 9E Ch. 9.2 - Prob. 10E Ch. 9.2 - Prob. 11E Ch. 9.2 - Prob. 12E Ch. 9.2 - Prob. 13E Ch. 9.2 - Prob. 14E Ch. 9.2 - Prob. 15E Ch. 9.2 - Prob. 16E Ch. 9.2 - Prob. 17E Ch. 9.2 - Prob. 18E Ch. 9.2 - Prob. 19E Ch. 9.3 - Use the simplex method to solve the following...Ch. 9.3 - In Exercises 1 and 2, set up the initial simplex...Ch. 9.3 - Prob. 2E Ch. 9.3 - Prob. 3E Ch. 9.3 - Prob. 4E Ch. 9.3 - Prob. 5E Ch. 9.3 - Prob. 6E Ch. 9.3 - Exercises 7 and 8 relate to a canonical linear...Ch. 9.3 - Prob. 9E Ch. 9.3 - Prob. 10E Ch. 9.3 - Prob. 11E Ch. 9.3 - Solve Exercises 9-14 by using the simplex method....Ch. 9.3 - Solve Exercises 9-14 by using the simplex method...Ch. 9.3 - Solve Exercises 9-14 by using the simplex method....Ch. 9.3 - Solve Example 7 by bringing x1 into the solution...Ch. 9.3 - Use the simplex method to solve the linear...Ch. 9.3 - Prob. 17E Ch. 9.3 - Use the simplex method to solve the linear...Ch. 9.4 - The following questions relate to the Shady-Lane...Ch. 9.4 - The following questions relate to the Shady-Lane...Ch. 9.4 - Prob. 3PP Ch. 9.4 - Prob. 1E Ch. 9.4 - Prob. 2E Ch. 9.4 - Prob. 3E Ch. 9.4 - In Exercises 1-4, state the dual of the given...Ch. 9.4 - In Exercises 5-8, use the final tableau in the...Ch. 9.4 - In Exercises 5-8, use the final tableau in the...Ch. 9.4 - In Exercises 5-8, use the final tableau in the...Ch. 9.4 - In Exercises 5-8, use the final tableau in the...Ch. 9.4 - Exercises 9 and 10 relate to a primal linear...Ch. 9.4 - Sometimes a minimization problem has inequalities...Ch. 9.4 - Sometimes a minimization problem has inequalities...Ch. 9.4 - Sometimes a minimization problem has inequalities...Ch. 9.4 - Sometimes a minimization problem has inequalities...Ch. 9.4 - Exercises 15 and 16 refer to Exercise 15 in...Ch. 9.4 - Exercises 15 and 16 refer to Exercise 15 in...Ch. 9.4 - Solve the matrix games in Exercises 17 and 18 by...Ch. 9.4 - Solve the matrix games in Exercises 17 and 18 by...Ch. 9.4 - Solve the matrix game in Exercise 9 in Section 9.1...Ch. 9.4 - Solve the matrix game in Exercise 10 in Section...Ch. 9.4 - Prob. 22E Ch. 9.4 - Prob. 23E

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