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- Part 1 Rework problem 20 in section 1 of Chapter 7 of your textbook, about the Brown Brothers Box Company, using the following data. Assume that each lot of 100 shipping boxes requires 135 pounds of heavy-duty liner board, 35 pounds of finish cardboard, and 3.5 hours of labor; that each lot of 600 mailing tubes requires 70 pounds of heavy-duty liner board, 20 pounds of finish cardboard, and 2.5 hours of labor; and that each lot of 100 retail boxes requires 75 pounds of heavy-duty liner board, 70 pounds of finish cardboard, and 5 hours of labor. Assume also that the company has available each day 330 pounds of heavy- duty liner board, 170 pounds of finish cardboard, and 16 hours of labor. Assume also that the profit on each retail box is $0.08, the profit on each mailing tube is $0.01, and the profit on each shipping box is $0.06. How many lots of each type of item should the company produce in order maximize its profit? When you formulate a linear programming problem to solve this problem, how many variables, how many constraints (both implicit and explicit), and how many objective functions should you have? Number of variables: 3 Number of constraints: 6 Number of objective functions: 1 (Note: The textbook's version of this problem was solved on The Finite Show. You can view the streaming video of this solution at TFS solution. Part 2 • Part 3 Formulate the linear programming problem for this situation. (Enter either the word Maximize or the word Minimize in the first blank. Type the symbols <= wherever you want a "less than or equal" inequality, i.e., <, and type the symbols >= wherever you what a "greater than or equal" inequality, i.e., >.) x+ y+ subject to the constraints heavy-duty liner board used (in pounds): x + y+ finish cardboard used (in pounds): x + y+ labor used (in hours): x + y+

- Part 1 Rework problem 20 in section 1 of Chapter 7 of your textbook, about the Brown Brothers Box Company, using the following data. Assume that each lot of 100 shipping boxes requires 135 pounds of heavy-duty liner board, 35 pounds of finish cardboard, and 3.5 hours of labor; that each lot of 600 mailing tubes requires 70 pounds of heavy-duty liner board, 20 pounds of finish cardboard, and 2.5 hours of labor; and that each lot of 100 retail boxes requires 75 pounds of heavy-duty liner board, 70 pounds of finish cardboard, and 5 hours of labor. Assume also that the company has available each day 330 pounds of heavy- duty liner board, 170 pounds of finish cardboard, and 16 hours of labor. Assume also that the profit on each retail box is $0.08, the profit on each mailing tube is $0.01, and the profit on each shipping box is $0.06. How many lots of each type of item should the company produce in order maximize its profit? When you formulate a linear programming problem to solve this problem, how many variables, how many constraints (both implicit and explicit), and how many objective functions should you have? Number of variables: 3 Number of constraints: 6 Number of objective functions: 1 (Note: The textbook's version of this problem was solved on The Finite Show. You can view the streaming video of this solution at TFS solution. Part 2 • Part 3 Formulate the linear programming problem for this situation. (Enter either the word Maximize or the word Minimize in the first blank. Type the symbols <= wherever you want a "less than or equal" inequality, i.e., <, and type the symbols >= wherever you what a "greater than or equal" inequality, i.e., >.) x+ y+ subject to the constraints heavy-duty liner board used (in pounds): x + y+ finish cardboard used (in pounds): x + y+ labor used (in hours): x + y+

Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter2: Systems Of Linear Equations
Section2.4: Applications
Problem 1EQ: 1. Suppose that, in Example 2.27, 400 units of food A, 600 units of B, and 600 units of C are placed...
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• Part 1 Rework problem 20 in section 1 of Chapter 7 of your textbook, about the Brown Brothers Box Company, using the following data. Assume that each lot of 100 shipping boxes requires 135 pounds of heavy-duty liner board, 35 pounds of finish cardboard, and 3.5 hours of labor; that each lot of 600 mailing tubes requires 70 pounds of heavy-duty liner board, 20 pounds of finish cardboard, and 2.5 hours of labor; and that each lot of 100 retail boxes requires 75 pounds of heavy-duty liner board, 70 pounds of finish cardboard, and 5 hours of labor. Assume also that the company has available each day 330 pounds of heavy- duty liner board, 170 pounds of finish cardboard, and 16 hours of labor. Assume also that the profit on each retail box is $0.08, the profit on each mailing tube is $0.01, and the profit on each shipping box is $0.06. How many lots of each type of item should the company produce in order maximize its profit? When you formulate a linear programming problem to solve this problem, how many variables, how many constraints (both implicit and explicit), and how many objective functions should you have? Number of variables: 3 Number of constraints: 6 Number of objective functions: 1 (Note: The textbook's version of this problem was solved on The Finite Show. You can view the streaming video of this solution at TFS solution. • Part 2 • Part 3 Formulate the linear programming problem for this situation. (Enter either the word Maximize or the word Minimize in the first blank. Type the symbols <= wherever you want a "less than or equal" inequality, i.e., <, and type the symbols >= wherever you what a "greater than or equal" inequality, i.e., >.) x+ y+ subject to the constraints heavy-duty liner board used (in pounds): x + y+ finish cardboard used (in pounds): x + y+ labor used (in hours): x + నా
Transcribed Image Text:• Part 1 Rework problem 20 in section 1 of Chapter 7 of your textbook, about the Brown Brothers Box Company, using the following data. Assume that each lot of 100 shipping boxes requires 135 pounds of heavy-duty liner board, 35 pounds of finish cardboard, and 3.5 hours of labor; that each lot of 600 mailing tubes requires 70 pounds of heavy-duty liner board, 20 pounds of finish cardboard, and 2.5 hours of labor; and that each lot of 100 retail boxes requires 75 pounds of heavy-duty liner board, 70 pounds of finish cardboard, and 5 hours of labor. Assume also that the company has available each day 330 pounds of heavy- duty liner board, 170 pounds of finish cardboard, and 16 hours of labor. Assume also that the profit on each retail box is $0.08, the profit on each mailing tube is $0.01, and the profit on each shipping box is $0.06. How many lots of each type of item should the company produce in order maximize its profit? When you formulate a linear programming problem to solve this problem, how many variables, how many constraints (both implicit and explicit), and how many objective functions should you have? Number of variables: 3 Number of constraints: 6 Number of objective functions: 1 (Note: The textbook's version of this problem was solved on The Finite Show. You can view the streaming video of this solution at TFS solution. • Part 2 • Part 3 Formulate the linear programming problem for this situation. (Enter either the word Maximize or the word Minimize in the first blank. Type the symbols <= wherever you want a "less than or equal" inequality, i.e., <, and type the symbols >= wherever you what a "greater than or equal" inequality, i.e., >.) x+ y+ subject to the constraints heavy-duty liner board used (in pounds): x + y+ finish cardboard used (in pounds): x + y+ labor used (in hours): x + నా
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