Mathematics Crash Course MHT-CET>Chapter 12 - Linear Programming Problems>Exercise 1>Q 13

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The region represented by the inequation system $x, y \geq 0, y \leq 5, x + y \leq 4$ is

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Important Questions on Linear Programming Problems

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Mathematics Crash Course MHT-CET>Chapter 12 - Linear Programming Problems>Exercise 1>Q 15

The constraints

- x + y \leq 1, - x + 3 y \leq 9, x \geq 0, y \geq 0

of LPP corresponds to

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Mathematics Crash Course MHT-CET>Chapter 12 - Linear Programming Problems>Exercise 1>Q 16

Determine the maximum value of $z = 3 x + 4 y$ , if the feasible region is shown shaded in the figure.

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Mathematics Crash Course MHT-CET>Chapter 12 - Linear Programming Problems>Exercise 1>Q 17

The vertex of common graph of inequalities

2 x + y \geq 2

and

x - y \leq 3

, is

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Mathematics Crash Course MHT-CET>Chapter 12 - Linear Programming Problems>Exercise 1>Q 18

Objective function of a linear programming problem is

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Mathematics Crash Course MHT-CET>Chapter 12 - Linear Programming Problems>Exercise 1>Q 19

Maximum value of

12 x + 3 y

subject to constraints

x \geq 0, y \geq 0, x + y \leq 5

and

3 x + y \leq 9

is

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Mathematics Crash Course MHT-CET>Chapter 12 - Linear Programming Problems>Exercise 1>Q 20

Determine the system of linear inequations for which the solution set is the shaded region in the following figure:

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Mathematics Crash Course MHT-CET>Chapter 12 - Linear Programming Problems>Exercise 1>Q 21

For the constraint of a linear optimizing function

z = x_{1} + x_{2}

, given by

x_{1} + x_{2} \leq 1, 3 x_{1} + x_{2} \geq 3

and

x_{1}, x_{2} \geq 0

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Mathematics Crash Course MHT-CET>Chapter 12 - Linear Programming Problems>Exercise 1>Q 22

Which of the following is not a vertex of the feasible region bounded by the inequalities

2 x + 3 y \leq 6, 5 x + 3 y \leq 15

and

x, y \geq 0

.