Answer :

Let x and y be number of bottles of medicines A and B be prepared.

According to the question,

x + y 45000 , 3x + y 66000, x , y,

Maximize Z = 8x + 7y

The feasible region determined by x + y 45000 , 3x + y 66000, x , y, is given by

The corner points of feasible region are A(0,0) , B(0,40000) , C(5000,40000),D(10500,34500),E(20000,6000),F(20000,0).

The value of Z at corner points are

The maximum value of Z is 325500 at point (10500,34500).

Hence, the manufacturer should produce 10500 bottles of medicine A and 34500 bottles of medicine B.

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