Answer :
Let the number of fans bought be x and sewing machines bought be y.
∴According to the question,
360x + 240y,x + y
Maximize Z = 22x + 18y
The feasible region determined by 360x + 240y,x + y
is given by
The corner points of the feasible region are A(0,0) , B(0,20),C(8,12) , D(16,0).The value of Z at corner points is

The maximum value of Z is 392 at point (8,12).
The dealer must buy 8 fans and 12 sewing machines to make the maximum profit.
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