Lakshmi wants to buy few bangles and ear drops. Each bangle costs Rs . 5 and each ear drop costs Rs . 10 . She should buy atleast 6 bangles and atmost 2 ear drops. If she buys x bangles and y ear drops with minimum expenditure, then the formulation for this linear programming is

Minimize 5 x + 10 y subject to x ≥ 6 ; y ≤ 2 , x , y ≥ 0

Maximize 5 x + 10 y subject to x ≥ 6 ; y ≤ 2 , x , y ≥ 0

Minimize x + y subject to 5 x + 10 y ≤ 50 ; x , y ≥ 0

Maximize 6 x + 2 y subject to 5 x + 10 y ≤ 50 ; x , y ≥ 0

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IMPORTANT

Earn 100

Which of the following statements is correct?

50% studentsanswered this correctly

Important Questions on Linear Programming

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IMPORTANT

Achieve CUET (UG) Mathematics Practice Book>Chapter 12 - Linear Programming>Exercise>Q 42

Which of the following is not a convex set?

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Achieve CUET (UG) Mathematics Practice Book>Chapter 12 - Linear Programming>Exercise>Q 43

The value of objective function is maximum under linear constraints

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Achieve CUET (UG) Mathematics Practice Book>Chapter 12 - Linear Programming>Exercise>Q 44

The corner points of the feasible region determined by the following system of linear inequalities: $2 x + y \leq 10, x + 3 y \leq 15, x, y \geq 0 are (0, 0), (5, 0), (3, 4)$ and $(0, 5) .$ Let $Z = p x + q y_{'}$ where $p, q > 0 .$ Condition on $p$ and $q$ so that the maximum of $Z$ occurs at both $(3, 4)$ and $(0, 5)$

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Achieve CUET (UG) Mathematics Practice Book>Chapter 12 - Linear Programming>Exercise>Q 45

Represent the following statement into mathematical form:
Two tailors $A$ and $B$ earn $Rs . 500$ and $Rs . 700$ per day respectively. $A$ can stitch $6$ shirts and $5$ pants while $B$ can stitch $8$ shirts and $4$ pants per day. How many days shall each work if it is desired to stitch at least $50$ shirts and $25$ pants at a "minimum cost". Consider efficiency of $A$ as $x$ and efficiency of $B$ as $y$ .

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Achieve CUET (UG) Mathematics Practice Book>Chapter 12 - Linear Programming>Exercise>Q 46

A furniture firm manufactures chairs and tables. Each requiring the use of three machines

A, B & C

. Production of one chair required

2

hours on machine

A

1

hour on machine

B

and

1

hour on machine

C

. Each table requires

1

hour each on machine

A

and

B

and

3

hours on machine

C

. The profit realised by selling one chair is Rs.

30

while for a table it is Rs.

60

. The total time available per week on machine

A

70

hours, on machine

B

40

hours and on machine

C

90

hours, develop a mathematical formulation so as to find the number of chairs and tables that should be made per week to maximise profit?

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Achieve CUET (UG) Mathematics Practice Book>Chapter 12 - Linear Programming>Exercise>Q 47

Maximum value of

Z = 5 x + 3 y

subject to

3 x + 5 y \leq 15, 5 x + 2 y \leq 10, x \geq 0, y \geq 0

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Achieve CUET (UG) Mathematics Practice Book>Chapter 12 - Linear Programming>Exercise>Q 48

A manufacturer of Furniture makes two products : chairs and tables. Processing of these products is done on two machines

A

and

B

. A chair requires

2 hrs

on machine

A

and

6 hrs

on machine

B

. A table requires

4 hrs

on machine

A

and

2 hrs

on machine

B

. There are

16

hrs of time per day available on machine

A

and

30 hrs

on machine

B

. Profit gained by the manufacturer from a chair and a table is

Rs 3

and

Rs 5

respectively. What should be the daily production of each of the two products so as to maximize his profit.

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Achieve CUET (UG) Mathematics Practice Book>Chapter 12 - Linear Programming>Exercise>Q 49

A small manufacturer has employed

5

skilled men and

10

semi-skilled men and makes an article in two qualities deluxe model and an ordinary model. The making of a deluxe model requires

2

hrs. work by a skilled man and

2

hrs. work by a semi-skilled man. The ordinary model requires

1

hr by a skilled man and

3

hrs. by a semi-skilled man. By union rules no man may work more than

8

hrs per day. The manufacturers clear profit on deluxe model is

Rs 15

and on an ordinary model is

Rs 10

. How many of each type should be made in order to maximize his total daily profit.

Which of the following statements is correct?

Important Questions on Linear Programming

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