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Asked by Isha Last Modified
Answer 
Tasneem
Let x and y be the number of dolls of type A and B respectively that are produced per week.
The given problem can be formulated as follows.
Maximize z = 12x + 16y … (1)
subject to the constraints,
The feasible region determined by the system of constraints is as follows.
The corner points are A (600, 0), B (1050, 150), and C (800, 400).
The values of z at these corner points are as follows.
| Corner point | z = 12x + 16y | |
| A (600, 0) | 7200 | |
| B (1050, 150) | 15000 | |
| C (800, 400) | 16000 | → Maximum |
The maximum value of z is 16000 at (800, 400).
Thus, 800 and 400 dolls of type A and type B should be produced respectively to get the maximum profit of Rs 16000.
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