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- Part 1 Rework problem 4 in section 1 of Chapter 7 of your textbook, about the manufacture of in-line skates, using the following data. Assume that the amounts of time (in minutes) required for finishing the frames and balancing the wheels for each pair of skates for the California and Florida models are as given in the following table: Frame Wheels California 19 6 Florida 15 9 Assume also that each day the company has available 105 hours of labor for finishing frames and 115 hours of labor for balancing wheels. Assume also that the profit on each pair of California skates is $21.00 and the profit on each pair of Florida skates is $20.00. How many pairs of each model should the company make 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: 2 Number of constraints: Number of objective functions: 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., 2.) Maximize 21 x+ 20 y (in dollars) subject to the constraints >3D >= labor spent on finishing frames (in minutes): 19 x + 15 6300 labor spent on balancing wheels (in minutes): x + y <=

- Part 1 Rework problem 4 in section 1 of Chapter 7 of your textbook, about the manufacture of in-line skates, using the following data. Assume that the amounts of time (in minutes) required for finishing the frames and balancing the wheels for each pair of skates for the California and Florida models are as given in the following table: Frame Wheels California 19 6 Florida 15 9 Assume also that each day the company has available 105 hours of labor for finishing frames and 115 hours of labor for balancing wheels. Assume also that the profit on each pair of California skates is $21.00 and the profit on each pair of Florida skates is $20.00. How many pairs of each model should the company make 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: 2 Number of constraints: Number of objective functions: 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., 2.) Maximize 21 x+ 20 y (in dollars) subject to the constraints >3D >= labor spent on finishing frames (in minutes): 19 x + 15 6300 labor spent on balancing wheels (in minutes): x + y <=

Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter7: Distance And Approximation
Section7.3: Least Squares Approximation
Problem 31EQ
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• Part 1 Rework problem 4 in section 1 of Chapter 7 of your textbook, about the manufacture of in-line skates, using the following data. Assume that the amounts of time (in minutes) required for finishing the frames and balancing the wheels for each pair of skates for the California and Florida models are as given in the following table: Frame Wheels California 19 Florida 15 9 Assume also that each day the company has available 105 hours of labor for finishing frames and 115 hours of labor for balancing wheels. Assume also that the profit on each pair of California skates is $21.00 and the profit on each pair of Florida skates is $20.00. How many pairs of each model should the company make 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: 2 Number of constraints: 4 Number of objective functions: 1 • 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., 2.) Maximize 21 x+ 20 y (in dollars) subject to the constraints >= labor spent on finishing frames (in minutes): 19 出 15 6300 labor spent on balancing wheels (in minutes): x +
Transcribed Image Text:• Part 1 Rework problem 4 in section 1 of Chapter 7 of your textbook, about the manufacture of in-line skates, using the following data. Assume that the amounts of time (in minutes) required for finishing the frames and balancing the wheels for each pair of skates for the California and Florida models are as given in the following table: Frame Wheels California 19 Florida 15 9 Assume also that each day the company has available 105 hours of labor for finishing frames and 115 hours of labor for balancing wheels. Assume also that the profit on each pair of California skates is $21.00 and the profit on each pair of Florida skates is $20.00. How many pairs of each model should the company make 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: 2 Number of constraints: 4 Number of objective functions: 1 • 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., 2.) Maximize 21 x+ 20 y (in dollars) subject to the constraints >= labor spent on finishing frames (in minutes): 19 出 15 6300 labor spent on balancing wheels (in minutes): x +
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