Explanation Given Information: A point is ( 14 , 3 ) . Inequalities are 6 x + 3 y ≤ 96 , x + y ≤ 18 , 2 x + 6 y ≤ 72 , x ≥ 0 and y ≥ 0 . Consider a point ( 14 , 3 ) for furniture manufacturing problem. A point is in feasible set of a problem of inequalities when it is satisfies all inequality of problem. Now, put point ( 14 , 3 ) in the inequality 6 x + 3 y ≤ 96 . 6 ( 14 ) + 3 ( 3 ) ≤ 96 84 + 9 ≤ 96 93 ≤ 96 Hence, point ( 14 , 3 ) satisfies with inequality 6 x + 3 y ≤ 96 . Now, put point ( 14 , 3 ) in the inequality x + y ≤ 18 . ( 14 ) + ( 3 ) ≤ 18 17 ≤ 18 Hence, point ( 14 , 3 ) satisfies with inequality x + y ≤ 18

Finite Mathematics & Its Applications (12th Edition)

12th Edition

ISBN: 9780134507125

Author: Goldstein

Publisher: PEARSON

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Chapter 3.2, Problem 2E

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Whether the point (14,3) is in feasible set of furniture manufacturing problem for inequalities 6x+3y≤96, x+y≤18, 2x+6y≤72, x≥0 and y≥0.

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Chapter 3.2, Problem 1E

Chapter 3.2, Problem 3E

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Chapter 3 Solutions

Finite Mathematics & Its Applications (12th Edition)

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Whether the point ( 14 , 3 ) is in feasible set of furniture manufacturing problem for inequalities 6 x + 3 y ≤ 96 , x + y ≤ 18 , 2 x + 6 y ≤ 72 , x ≥ 0 and y ≥ 0 .

Solution Summary: The author explains that the point (14,3) is feasible set of furniture manufacturing problem.

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Whether the point (14,3) is in feasible set of furniture manufacturing problem for inequalities 6x+3y≤96, x+y≤18, 2x+6y≤72, x≥0 and y≥0.

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