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.

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Step 2: Fix up the graphic scale

Maximum points = 66

Minimum points = 20

1 cm. = 10 points

Step 3: Graph the data

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

Corner points x1 x2
O 0 0
A 20 0
B 20 6
C 10.5 34.5
D 5 40
E 0 40
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