The objective function z = 3X1 + 5x2 is to be maximized subject to constraints

X1 + 2x2 ≤ 200

X1 + x2 ≤ 150

X1, x2 ≤ 0

The values of x1 and x2 in this context are, respectively

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UPSC ESE 2018 Paper 1
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  1. 100 and 75
  2. 125 and 75

  3. 100 and 50
  4. 125 and 50

Answer (Detailed Solution Below)

Option 3 : 100 and 50
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Detailed Solution

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Explanation:

F1 S.C 29.7.20 Pallavi  4

So,

At x1 = 100 and x2 = 50

z = 3(100) + 5(50)

z = 300 + 250

z = 550

Unique optimal solutional

∴ x1 = 100 and x2 = 50 , zmax = 150

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