Explanation Given information: The provided linear programming is, Minimize c = 2 x + y Subject to 3 x + y ≥ 30 , x + 2 y ≥ 20 , 2 x − y ≥ 0 and x ≥ 0 , y ≥ 0 Calculation: Consider the provided equation, 3 x + y ≥ 30 , x + 2 y ≥ 20 , 2 x − y ≥ 0 and x ≥ 0 , y ≥ 0 Consider the inequality 3 x + y ≥ 30 Assume the equation as, 3 x + y = 30 Now, substitute the values of x in order to get the corresponding values of y and sketch the graph of the line. For x = 0 3 ( 0 ) + y = 30 y = 30 y = 30 Therefore, the point is ( 0 , 30 ) For y = 0 3 x + ( 0 ) = 30 3 x = 30 x = 10 Therefore, the point is ( 10 , 0 ) The points for the equation 3 x + y = 30 are as follows: x y ( x , y ) 0 30 ( 0 , 30 ) 10 0 ( 10 , 0 ) The graph of the inequality is as follows: Hence, the boundary points for the equation are ( 10 , 0 ) and ( 0 , 30 ) Consider the inequality x + 2 y ≥ 20 Assume the equation as, x + 2 y = 20 Now, substitute the values of x in order to get the corresponding values of y and sketch the graph of the line. For x = 0 ( 0 ) + 2 y = 20 y = 10 Therefore, the point is ( 0 , 10 ) For y = 0 x + 2 ( 0 ) = 20 x = 20 Therefore, the point is ( 20 , 0 ) The points for the equation x + 2 y = 20 are as follows: x y ( x , y ) 0 10 ( 0 , 10 ) 20 0 ( 20 , 0 ) The graph of the inequality is as follows:

7th Edition

ISBN: 9781337280426

Author: Stefan Waner, Steven Costenoble

Publisher: Cengage Learning

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Chapter 5, Problem 7RE

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To calculate: The linear programming problem by graphically.

Minimize c=2x+y

Subject to 3x+y≥30,x+2y≥20,2x−y≥0 and x≥0,y≥0

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Chapter 5, Problem 6RE

Chapter 5, Problem 8RE

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The linear programming problem by graphically. Minimize c = 2 x + y Subject to 3 x + y ≥ 30 , x + 2 y ≥ 20 , 2 x − y ≥ 0 and x ≥ 0 , y ≥ 0

Solution Summary: The author explains how to calculate the linear programming problem by graphically.

Videos

To calculate: The linear programming problem by graphically.

Minimize c=2x+y

Subject to 3x+y≥30,x+2y≥20,2x−y≥0 and x≥0,y≥0

Want to see the full answer?

Chapter 5 Solutions

The linear programming problem by graphically. Minimize c = 2 x + y Subject to 3 x + y ≥ 30 , x + 2 y ≥ 20 , 2 x − y ≥ 0 and x ≥ 0 , y ≥ 0

Solution Summary: The author explains how to calculate the linear programming problem by graphically.

Videos

To calculate: The linear programming problem by graphically. Minimize c=2x+y Subject to 3x+y≥30,x+2y≥20,2x−y≥0 and x≥0,y≥0

Want to see the full answer?

Chapter 5 Solutions

To calculate: The linear programming problem by graphically.

Minimize c=2x+y

Subject to 3x+y≥30,x+2y≥20,2x−y≥0 and x≥0,y≥0