exam Maths Puzzle Numerical Ability

maximize the value of R=y+1/2x ,subject to the constraints x greater than or = to y greater than or = and x+y less than or = 4

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my teacher wants me to simplify by factoring but i never done it w/ 2 variables
my promblem was 2g -6h/ divide by 9hsquare - 8square, first i did 8 square and got 64 so then negative six s is greater or equal to negative seventy-eight