- 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+
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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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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