Math Question:
Omri’s utility function and budget line are given by:

=(_1,_2 )=2_1^2 _2^1;

,where =(_1,_2 ) is the utility function, and _1+〖3〗_2=8100 is Omri’s

budget line.

_1 is the amount of good 1 consumed.

_2 is the amount of good 2 consumed.

_1 or the price of good 1 is 1 dollar per unit.

_2 or the price of good 2 is 3 dollars per unit.

I or income is 8100 dollars.

How much of each good should Omri buy to maximize his utility?