(a) Explanation Given Information: Provided the optimization problem with mixed constraint is: Maximize f = 5 x + 11 y subject to x − 3 y ≥ 3 − x + y ≤ 1 x ≤ 10 x ≥ 0 , y ≥ 0 Formula used: In an optimization problem, if a constraint has the form a 1 x 1 + a 2 x 2 + ... + a n x n ≥ b , where b ≥ 0 . To convert it into standard form of ≤ , multiplying both sides of the inequality by − 1 . a 1 x 1 + a 2 x 2 + ... + a n x n ≥ b Becomes − a 1 x 1 − a 2 x 2 − ... + a n x n ≤ − b (b) To determine To calculate: The simplex matrix of the LPP and also circle the first pivot entry. Maximize f = 5 x + 11 y subject to − x + 3 y ≤ − 3 − x + y ≤ 1 x ≤ 10 x , y ≥ 0

Mathematical Applications for the Management, Life, and Social Sciences

12th Edition

ISBN: 9781337625340

Author: Ronald J. Harshbarger, James J. Reynolds

Publisher: Cengage Learning

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Chapter 4.5, Problem 6E

(a)

To determine

To calculate: The standard form of the given problem such that simplex matrix can be formed.

Maximize f=5x+11y subject to

x−3y≥3−x+y≤1x≤10x≥0,y≥0

(b)

To determine

To calculate: The simplex matrix of the LPP and also circle the first pivot entry.

Maximize f=5x+11y subject to

−x+3y≤−3−x+y≤1x≤10x,y≥0

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Chapter 4.5, Problem 5E

Chapter 4.5, Problem 7E

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The Cartesian coordinates of a point are given. (a) (4,-4) (i) Find polar coordinates (r, e) of the point, where r > 0 and 0 0 and 0 < 0 < 2π. (r, 6) = X 7 (ii) Find polar coordinates (r, 8) of the point, where r < 0 and 0 0 < 2π. (r, 0) = X

pls help asap. show in the diagram by filling it out

r>0 (r, 0) = T 0 and one with r 0 2 (c) (9,-17) 3 (r, 8) (r, 8) r> 0 r<0 (r, 0) = (r, 8) = X X X x x W

Chapter 4 Solutions

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The standard form of the given problem such that simplex matrix can be formed. Maximize f = 5 x + 11 y subject to x − 3 y ≥ 3 − x + y ≤ 1 x ≤ 10 x ≥ 0 , y ≥ 0

Solution Summary: The author calculates the standard form of the given problem such that simplex matrix can be formed.

Videos

To calculate: The standard form of the given problem such that simplex matrix can be formed.

Maximize f=5x+11y subject to

x−3y≥3−x+y≤1x≤10x≥0,y≥0

To calculate: The simplex matrix of the LPP and also circle the first pivot entry.

Maximize f=5x+11y subject to

−x+3y≤−3−x+y≤1x≤10x,y≥0

Want to see the full answer?

Chapter 4 Solutions

The standard form of the given problem such that simplex matrix can be formed. Maximize f = 5 x + 11 y subject to x − 3 y ≥ 3 − x + y ≤ 1 x ≤ 10 x ≥ 0 , y ≥ 0

Solution Summary: The author calculates the standard form of the given problem such that simplex matrix can be formed.

Videos

To calculate: The standard form of the given problem such that simplex matrix can be formed. Maximize f=5x+11y subject to x−3y≥3−x+y≤1x≤10x≥0,y≥0

To calculate: The simplex matrix of the LPP and also circle the first pivot entry. Maximize f=5x+11y subject to −x+3y≤−3−x+y≤1x≤10x,y≥0

Want to see the full answer?

Chapter 4 Solutions

To calculate: The standard form of the given problem such that simplex matrix can be formed.

Maximize f=5x+11y subject to

x−3y≥3−x+y≤1x≤10x≥0,y≥0

To calculate: The simplex matrix of the LPP and also circle the first pivot entry.

Maximize f=5x+11y subject to

−x+3y≤−3−x+y≤1x≤10x,y≥0