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Consider the following linear programming (LP):

Max. Z = 2x1 + 3x2 

Such that 2x1 + x2 ≤ 4

x1 + 2x2 ≤ 5

x1, x2 ≥ 0

The optimum value of the LP is

This question was previously asked in
UGC NET Computer Science (Paper 2) 2020 Official Paper
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  1. 23
  2. 9.5
  3. 13
  4. 8

Answer (Detailed Solution Below)

Option 4 : 8
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Detailed Solution

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The correct answer is option 4.

Key Points

Max Z=2x1+3x2

2x1 + x2 ≤ 4

x1 + 2x2 ≤ 5           x1, x2 ≥ 0

Graphical method,

 

Draw lines by removing inequality Z at (1,2)  =2+6=8

Z at (2,0) =4+0 =4

Z at (0,5/2)

    =0+15÷2 =7.5

∴ Hence the correct answer is 8.

Hint

The smart way to answer as per the given options

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