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Asked by Kumarnaik Last Modified
Answer 
Vishaka Bhutia
Home Tutor
Let the airline sell x tickets of executive class and y tickets of economy class.
The mathematical formulation of the given problem is as follows.
Maximize z = 1000x + 600y … (1)
subject to the constraints,
The feasible region determined by the constraints is as follows.
The corner points of the feasible region are A (20, 80), B (40, 160), and
C (20, 180).
The values of z at these corner points are as follows.
| Corner point | z = 1000x + 600y | |
| A (20, 80) | 68000 | |
| B (40, 160) | 136000 | → Maximum |
| C (20, 180) | 128000 |
The maximum value of z is 136000 at (40, 160).
Thus, 40 tickets of executive class and 160 tickets of economy class should be sold to maximize the profit and the maximum profit is Rs 136000.
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