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:

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:

Algebra and Trigonometry (MindTap Course List)

4th Edition

ISBN:9781305071742

Author:James Stewart, Lothar Redlin, Saleem Watson

Publisher:James Stewart, Lothar Redlin, Saleem Watson

ChapterP: Prerequisites

SectionP.FOM: Focus On Modeling: Making The Best Decisions

Problem 7P: Cell Phone Plans Gwendolyn is mulling over the three cell phone plans shown in the table. Gigabytes...

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