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Using Lagrangian Multiplier Method, maximize the following utility function: (10 ) U = 2x2 + 3y2 + 3xy Subject to the following constraint: 2x +

Using Lagrangian Multiplier Method, maximize the following utility function: (10 )

U = 2x2 + 3y2 + 3xy

Subject to the following constraint:

2x + 3y = 8

and find out optimal values of goods 'x' and 'y', where utility of the consumer is maximum?

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