Explanation Calculation : Consider the LPP. Minimize P = 30 x + 10 y Subject to 1.8 x + 0.9 y ≥ 270 , 0.3 x + 0.2 y ≥ 54 and 0.01 x + 0.03 y ≥ 3.9 while x , y ≥ 0 . The inequalities 1.8 x + 0.9 y ≥ 270 , 0.3 x + 0.2 y ≥ 54 and 0.01 x + 0.03 y ≥ 3.9 with x , y ≥ 0 can be graphed as, The feasible region is as shown above and it is unbounded. The theorem of existence of optimal solutions states, A Both maximum value and minimum value of a function exists if the feasible region for a linear programming problem is bounded. B Only minimum value of the function exists if the coefficients of the function are positive, and the feasible region is unbounded. C If the feasible region is empty, that is, no point satisfies all the constraints, then both maximum value and minimum value of the function does not exist

Finite Mathematics for Business, Economics, Life Sciences, and Social Sciences (13th Edition)

13th Edition

ISBN: 9780321945525

Author: Raymond A. Barnett, Michael R. Ziegler, Karl E. Byleen

Publisher: PEARSON

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Chapter 5.3, Problem 32E

To determine

To calculate : The linear programming,

Minimize P=30x+10y

Subject to 1.8x+0.9y≥270, 0.3x+0.2y≥54 and 0.01x+0.03y≥3.9 while x,y≥0.

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Chapter 5.3, Problem 31E

Chapter 5.3, Problem 33E

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Chapter 5 Solutions

Finite Mathematics for Business, Economics, Life Sciences, and Social Sciences (13th Edition)

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The linear programming, Minimize P = 30 x + 10 y Subject to 1.8 x + 0.9 y ≥ 270 , 0.3 x + 0.2 y ≥ 54 and 0.01 x + 0.03 y ≥ 3.9 while x , y ≥ 0 .

Solution Summary: The author calculates the linear programming by comparing the feasible and unbounded regions of a function.

Videos

To calculate : The linear programming,

Minimize P=30x+10y

Subject to 1.8x+0.9y≥270, 0.3x+0.2y≥54 and 0.01x+0.03y≥3.9 while x,y≥0.

Want to see the full answer?

Chapter 5 Solutions

The linear programming, Minimize P = 30 x + 10 y Subject to 1.8 x + 0.9 y ≥ 270 , 0.3 x + 0.2 y ≥ 54 and 0.01 x + 0.03 y ≥ 3.9 while x , y ≥ 0 .

Solution Summary: The author calculates the linear programming by comparing the feasible and unbounded regions of a function.

Videos

To calculate : The linear programming, Minimize P=30x+10y Subject to 1.8x+0.9y≥270, 0.3x+0.2y≥54 and 0.01x+0.03y≥3.9 while x,y≥0.

Want to see the full answer?

Chapter 5 Solutions

To calculate : The linear programming,

Minimize P=30x+10y

Subject to 1.8x+0.9y≥270, 0.3x+0.2y≥54 and 0.01x+0.03y≥3.9 while x,y≥0.