Explanation Given: Amount paid to the tutors for per hour of study: Math tutor = 20 $ Accounting tutor = 40 $ Aspirin and sleep requirement for 1 hour of math: Aspirin = 1 Sleep = 1 hour Aspirin and sleep requirement for 1 hour of accounting: Aspirin = 1 2 Sleep = 3 hour Points gained for 1 hour of study: Math tutor = 3 Accounting tutor = 5 Explanation: Let the number of hours with math tutor be x and the number of hours with accounting tutor be y . Combined number of points gained for 1 hour of study: z = 3 x + 5 y This is the objective function that needs to be maximized. The constraints on the value of x and y are represented in the table: Math tutor Accounting tutor Tutor Number of hours X y Amount paid in $ 20 40 ≤ 220 Number of aspirin 1 1 2 ≤ 8 Sleep in hours 1 3 ≤ 15 Points gained 3 5 The constraints represented in the form of linear inequalities are 20 x + 40 y ≤ 220 x + 2 y ≤ 11 And, x + y 2 ≤ 8 2 x + y ≤ 16 And, x + 3 y ≤ 15 x ≥ 0 y ≥ 0 The linear inequalities are plotted on a graph:

11th Edition

ISBN: 9780321979438

Author: Margaret L. Lial, Raymond N. Greenwell, Nathan P. Ritchey

Publisher: PEARSON

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Chapter 3, Problem 46RE

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The number of hours with math tutor and the number of hours with accounting tutor that Ty Olden should spend on the weekend which meets the aspirin and sleep requirements such that the combined number of points on both tests is maximum.

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Chapter 3, Problem 45RE

Chapter 4.1, Problem 1E

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Chapter 3 Solutions

Finite Mathematics (11th Edition)

Ch. 3.1 - Graph each linear inequality. x + y 2 Ch. 3.1 - Graph each linear inequality. y x + 1 Ch. 3.1 - Graph each linear inequality. x 2 y Ch. 3.1 - Graph each linear inequality. y x 3 Ch. 3.1 - Graph each linear inequality. 4x y 6 Ch. 3.1 - Graph each linear inequality. 4y + x 6 Ch. 3.1 - Graph each linear inequality. 7. 4x + y 8 Ch. 3.1 - Graph each linear inequality. 2x y 2 Ch. 3.1 - Graph each linear inequality. x + 3y 2 Ch. 3.1 - Graph each linear inequality. 2x + 3y 6

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The number of hours with math tutor and the number of hours with accounting tutor that Ty Olden should spend on the weekend which meets the aspirin and sleep requirements such that the combined number of points on both tests is maximum.

Solution Summary: The author explains that the number of hours with math tutor and accounting tutor must be x and y and the objective function that needs to be maximized.

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The number of hours with math tutor and the number of hours with accounting tutor that Ty Olden should spend on the weekend which meets the aspirin and sleep requirements such that the combined number of points on both tests is maximum.

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Chapter 3 Solutions