Q. 284.8( 5 Votes )

A manufactu

Answer :

Let the manufacturer make x and y quantity of toy A and toy B respectively.


Max P = 50x + 60y


Subject to


20x + 10y 180


2x + y 18 … (1)


10x + 20y 120


x +2 y 12 … (2)


10x + 30y 150


x + 3y 15 … (3)


x, y 0


Corner points of constraints are (1), (2), (3) are –


For 2x + y 18


At x = 0, x = 9,


At y = 0, y = 18



For x + 2y 12


At x = 0, y = 6,


At y = 0, x = 12



For x + 3y 15


At x = 0, y = 5,


At y = 0, x = 15





Clearly, Max Profit is Rs 520, at x = 8 and y = 2.


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