MEDIUM
12th CBSE
IMPORTANT
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Determine the maximum value of Z=3x+4y, if the feasible region (shaded) for a LPP, is shown in figure.

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Important Questions on Linear Programming

EASY
12th CBSE
IMPORTANT
NCERT Exemplar Mathematics - Class 12>Chapter 12 - Linear Programming>EXERCISE>Q 6

Find the maximum value of Z=5x+7y in the feasible region (shaded) for a LPP shown in the figure.

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MEDIUM
12th CBSE
IMPORTANT
NCERT Exemplar Mathematics - Class 12>Chapter 12 - Linear Programming>EXERCISE>Q 7

Find the minimum value of Z=11x+7y in the feasible region for a LPP shown in the figure.

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MEDIUM
12th CBSE
IMPORTANT
NCERT Exemplar Mathematics - Class 12>Chapter 12 - Linear Programming>EXERCISE>Q 8
The feasible region for a LPP is shown in figure. Find the maximum value of Z=11x+7y.

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MEDIUM
12th CBSE
IMPORTANT
NCERT Exemplar Mathematics - Class 12>Chapter 12 - Linear Programming>EXERCISE>Q 9
Find the minimum value of Z=4x+y in the feasible region for a LPP shown in the figure.
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MEDIUM
12th CBSE
IMPORTANT
NCERT Exemplar Mathematics - Class 12>Chapter 12 - Linear Programming>EXERCISE>Q 10
In figure, the feasible region (shaded) for a LPP is shown. Determine the maximum value of Z=x+2y.

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HARD
12th CBSE
IMPORTANT
NCERT Exemplar Mathematics - Class 12>Chapter 12 - Linear Programming>EXERCISE>Q 11
A manufacturer of electronic circuits has a stock of 200 resistors, 120 transistors and 150 capacitors and is required to produce two types of circuits A and B. Type A requires 20 resistors, 10 transistors and 10 capacitors. Type B requires 10 resistors, 20 transistors and 30 capacitors. If the profit on type A circuit is Rs 50 and that on type B circuit is Rs 60, formulate this problem as a LPP so that the manufacturer can maximise his profit.
MEDIUM
12th CBSE
IMPORTANT
NCERT Exemplar Mathematics - Class 12>Chapter 12 - Linear Programming>EXERCISE>Q 12
A firm has to transport 1200 packages using large vans which can carry 200 packages each and small vans which can take 80 packages each. The cost for engaging each large van is Rs 400 and each small van is Rs 200. Not more than Rs 3000 is to be spent on the job and the number of large vans can not exceed the number of small vans. The formulated of this problem as a LPP given that the objective is to minimise cost as 2x+y≤k. Find the value of k.
MEDIUM
12th CBSE
IMPORTANT
NCERT Exemplar Mathematics - Class 12>Chapter 12 - Linear Programming>EXERCISE>Q 13
A company manufactures two types of screws A and B. All the screws have to pass through a threading machine and a slotting machine. A box of Type A Screws required 2 Minutes on the threading machine and 3 Minutes on the slotting machine. A box of type B Screws required 8 Minutes of threading on the threading machine and 2 Minutes on the slotting machine. In a week, each machine is available for 60 Hours. On selling these screws, the company gets a profit of Rs.100 Per box on type A screws and Rs 170 Per box on type B Screws.