Rework problem 23 in section 1 of Chapter 7 of your textbook, about the Useful Gadget Company, using the following data. Assume that the amounts of time (in hours) required for assembling, painting, and installing locks for lots of 100 gadgets of the various types are as given in the following table: Time for Time for Time for Lock Type of Gadget Assembly, Hours Painting, Hours Installation, Hours Small without lock 2 Small with lock 4 5 4 Medium with lock 5 6 2 Large with lock 7 8 7 Assume also that each day the company has available 9.5 hours for assembly, 14 hours for painting, and 3.5 hours for installation of locks. Assume also that the profit on each small gadget without a lock is $0.05, the profit on each small gadget with a lock is $0.11, the profit on each medium gadget with a lock is $0.15, and the profit on each large gadget with a lock is $0.23. How many gadgets 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: Number of constraints: Number of objective functions:

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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- Part 1
Rework problem 23 in section 1 of Chapter 7 of your textbook, about the Useful Gadget Company, using the following data. Assume that the amounts of time (in
hours) required for assembling, painting, and installing locks for lots of 100 gadgets of the various types are as given in the following table:
Time for
Time for
Time for Lock
Type of Gadget Assembly, Hours Painting, Hours Installation, Hours
Small without lock
2
2
Small with lock
4
4
Medium with lock
2
Large with lock
7
8
7
Assume also that each day the company has available 9.5 hours for assembly, 14 hours for painting, and 3.5 hours for installation of locks. Assume also that the
profit on each small gadget without a lock is $0.05, the profit on each small gadget with a lock is $0.11, the profit on each medium gadget with a lock is $0.15,
and the profit on each large gadget with a lock is $0.23. How many gadgets 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:
Number of constraints:
Number of objective functions:
出
Transcribed Image Text:- Part 1 Rework problem 23 in section 1 of Chapter 7 of your textbook, about the Useful Gadget Company, using the following data. Assume that the amounts of time (in hours) required for assembling, painting, and installing locks for lots of 100 gadgets of the various types are as given in the following table: Time for Time for Time for Lock Type of Gadget Assembly, Hours Painting, Hours Installation, Hours Small without lock 2 2 Small with lock 4 4 Medium with lock 2 Large with lock 7 8 7 Assume also that each day the company has available 9.5 hours for assembly, 14 hours for painting, and 3.5 hours for installation of locks. Assume also that the profit on each small gadget without a lock is $0.05, the profit on each small gadget with a lock is $0.11, the profit on each medium gadget with a lock is $0.15, and the profit on each large gadget with a lock is $0.23. How many gadgets 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: Number of constraints: Number of objective functions: 出
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