- 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 <=
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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Question
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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