Rework problem 14 in section 1 of Chapter 7 of your textbook, about the Mount Cycle Company, using the following data. Assume that the amounts of time (in minutes) required for assembling the frames, installing the wheels, and decorating for the Starstreak and Superstreak models are as given in the following table: Frame Wheels Decoration Starstreak 22 17 Superstreak 16 12 13 Assume also that each day the company has available 125 hours of labor for assembling frames, 85 hours of labor for installing wheels, and 135 hours of labor for decoration. Assume also that the profit on each Starstreak bike is $21.00 and the profit on each Superstreak bike is $27.00. How many bikes of each type 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: 5 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+ 27 subject to the constraints >= >3= labor spent on assembling frames (in minutes): 22 x + 16 <= labor spent on installing wheels (in minutes): x + 12 <= labor spent on decorating (in minutes): 17 x + 13 <=
Rework problem 14 in section 1 of Chapter 7 of your textbook, about the Mount Cycle Company, using the following data. Assume that the amounts of time (in minutes) required for assembling the frames, installing the wheels, and decorating for the Starstreak and Superstreak models are as given in the following table: Frame Wheels Decoration Starstreak 22 17 Superstreak 16 12 13 Assume also that each day the company has available 125 hours of labor for assembling frames, 85 hours of labor for installing wheels, and 135 hours of labor for decoration. Assume also that the profit on each Starstreak bike is $21.00 and the profit on each Superstreak bike is $27.00. How many bikes of each type 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: 5 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+ 27 subject to the constraints >= >3= labor spent on assembling frames (in minutes): 22 x + 16 <= labor spent on installing wheels (in minutes): x + 12 <= labor spent on decorating (in minutes): 17 x + 13 <=
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter2: Systems Of Linear Equations
Section2.4: Applications
Problem 2EQ: 2. Suppose that in Example 2.27, 400 units of food A, 500 units of B, and 600 units of C are placed...
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Transcribed Image Text:• Part 1
Rework problem 14 in section 1 of Chapter 7 of your textbook, about the Mount Cycle Company, using the following data. Assume that the amounts of time (in
minutes) required for assembling the frames, installing the wheels, and decorating for the Starstreak and Superstreak models are as given in the following
table:
Frame Wheels Decoration
Starstreak
22
17
Superstreak 16
12
13
Assume also that each day the company has available 125 hours of labor for assembling frames, 85 hours of labor for installing wheels, and 135 hours of
labor for decoration. Assume also that the profit on each Starstreak bike is $21.00 and the profit on each Superstreak bike is $27.00. How many bikes of each
type 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: 5
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., >.)
Maximize
21
x+ 27
subject to the constraints
>=
labor spent on assembling frames (in minutes):
22
x +
16
labor spent on installing wheels (in minutes):
x +
12
labor spent on decorating (in minutes):
17
x +
13
నా
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