Complete Study Pack for Engineering Entrances Objective Mathematics Vol 2>Chapter 15 - Linear Programming>Target Exercises>Q 8

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The maximum value of $Z$ , where $Z = 4 x + 2 y$ subject to constraints $4 x + 2 y \geq 46, x + 3 y \leq 24$ and $x, y \geq 0$ is

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Important Questions on Linear Programming

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Complete Study Pack for Engineering Entrances Objective Mathematics Vol 2>Chapter 15 - Linear Programming>Target Exercises>Q 9

If the given constraints are

5 x + 4 y \geq 2, x \leq 6

and

y \leq 7

, then the maximum value of the function

Z = x + 2 y

is

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Complete Study Pack for Engineering Entrances Objective Mathematics Vol 2>Chapter 15 - Linear Programming>Target Exercises>Q 10

The minimum value of the objective function

Z = 2 x + 10 y

subject to constraints

x \geq 0, y \geq 0

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

is

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Complete Study Pack for Engineering Entrances Objective Mathematics Vol 2>Chapter 15 - Linear Programming>Target Exercises>Q 11

Reshma wishes to mix two types of food

P

and

Q

in such a way that the vitamin contents of the mixture contain at least

8 units

of vitamin

A

and

11 units

of vitamin

B

. Food

P

costs

₹ 60 / kg

and food

Q

costs

₹ 80 / kg

. Food

P

contains

3 units / kg

of vitamin

A

and

5 units / kg

of vitamin

B

, while food

Q

contains

4 units / kg

of vitamin

A

and

2 units / kg

of vitamin

B

. Then, the minimum cost of the mixture is

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Complete Study Pack for Engineering Entrances Objective Mathematics Vol 2>Chapter 15 - Linear Programming>Target Exercises>Q 12

The linear programming problem Maximise $Z = x_{1} + x_{2}$ subject to constraints are $x_{1} + 2 x_{2} \leq 2000, x_{1} + x_{2} \leq 1500, x_{2} \leq 600$ ,

$x_{1} \geq 0$ and $x_{2} \geq 0$ has