Q51175c Maximise ‘Z’ = 8,000×1 + 7,000×2    

‘Z’ = 8,000x₁ + 7,000x₂                                   (Subject to constraints)

3x₁ + x₂ < 66

x₁ < 20

x₂ < 40

x₁ + x₂ < 45

x₁, x₂ > 0                                                      (Non-negativity constraints)

Solution:

Step 1: Convert the inequalities into equalities and find the divisible.

Step 2: Fix up the graphic scale

Maximum points = 66

Minimum points = 20

1 cm. = 10 points

Step 3: Graph the data

Step 4: Find the co-ordinates of the corner points

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