Mathematics Crash Course BITSAT>Chapter 19 - Linear Programming>Exercise 1>Q 26

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For the following feasible region, the linear constraints are

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Important Questions on Linear Programming

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Mathematics Crash Course BITSAT>Chapter 19 - Linear Programming>Exercise 1>Q 27

The maximum value of

f = 4 x + 3 y

subject to the constraints

x \geq 0, y \geq 2, 2 x + 3 y \leq 18, x + y \geq 10

is

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Mathematics Crash Course BITSAT>Chapter 19 - Linear Programming>Exercise 1>Q 28

The minimum value of

z = 2 x_{1} + 3 x_{2}

subject to the constraints

2 x_{1} + 7 x_{2} \geq 22, x_{1} + x_{2} \geq 6, 5 x_{1} + x_{2} \geq 10

and

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

is

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Mathematics Crash Course BITSAT>Chapter 19 - Linear Programming>Exercise 1>Q 29

The minimum value of the objective function

z = 2 x + 10 y

for linear constraints

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

is

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Mathematics Crash Course BITSAT>Chapter 19 - Linear Programming>Exercise 1>Q 30

If

Z = 2 x + y

subject to

x \leq 4, y \leq 6, x + y \geq 6, x \geq 0, y \geq 0

, then the maximum value of

Z

is

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Mathematics Crash Course BITSAT>Chapter 19 - Linear Programming>Exercise 1>Q 31

The maximum value of

z = 5 x + 2 y,

subject to the constraints

x + y \leq 7, x + 2 y \leq 10, x, y \geq 0

is

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Mathematics Crash Course BITSAT>Chapter 19 - Linear Programming>Exercise 1>Q 32

The maximum value of

P = x + 3 y

such that

2 x + y \leq 20, x + 2 y \leq 20, x \geq 0, y \geq 0

is

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Mathematics Crash Course BITSAT>Chapter 19 - Linear Programming>Exercise 1>Q 33

Z = 6 x + 21 y,

subject to

x + 2 y \geq 3, x + 4 y \geq 4, 3 x + y \geq 3, x \geq 0, y \geq 0 .

The minimum value of

Z

occurs at

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Mathematics Crash Course BITSAT>Chapter 19 - Linear Programming>Exercise 1>Q 34

Maximize

Z = 4 x + 6 y,

subject to

3 x + 2 y \leq 12, x + y \geq 4, x, y \geq 0,

is