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

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Objective function of a linear programming problem 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 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

.

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Mathematics Crash Course MHT-CET>Chapter 12 - Linear Programming Problems>Exercise 1>Q 23

For the function

z = 4 x + 9 y

to be maximum under the constraints

x + 5 y \leq 200, 2 x + 3 y \leq 134, x \geq 0, y \geq 0

the values of

x

and

y

are

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Mathematics Crash Course MHT-CET>Chapter 12 - Linear Programming Problems>Exercise 1>Q 24

The maximum value of

P = 6 x + 8 y

subject to constraints

2 x + y \leq 30, x + 2 y \leq 24

and

x \geq 0, y \geq 0

is

HARD

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Mathematics Crash Course MHT-CET>Chapter 12 - Linear Programming Problems>Exercise 1>Q 25

The solution for minimising the function

z = x + y

under an LPP with constraints

x + y \geq 1, x + 2 y \leq 10, y \leq 4

and

x, y \geq 0

, is

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Mathematics Crash Course MHT-CET>Chapter 12 - Linear Programming Problems>Exercise 1>Q 26

Find the linear inequations for which the shaded area in the following figure is the solution set:

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