Answer :

Let the company manufacturer x souvenirs of type A and y souvenirs of type B

x and y ≥ 0


The tabular representation of the given data is:



The profit on type A souvenirs is Rs 5 and that on type B souvenirs is Rs 6.


The constraints here are of the form:


5x+ 8y ≤ 200


And 10x+ 8y ≤ 240 or 5x + 4y ≤ 120


The function is to maximize the profit Z = 5x+ 6y


The mathematical formulation of the data


Maximise Z = 5x+ 6y


Subject to constraints


5x+ 8y ≤ 200


5x + 4y ≤ 120


x and y ≥ 0


The feasible region is determined by the system of constraints is as follows:



The corner points here are A( 24, 0) , B( 8, 20) and C( 0 , 25)


The value of Z at these corner points are :



The maximum value of Z is at the point (8, 20)


Thus the firm should produce 8 number of souvenirs of type A and 20 type B souvenirs each day in order to maximize its profit of Rs160.


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