Use element-wise operations:
c_one=0.9;
c_two=0.1;
f = @(x,y) (c_one.*x + c_two.*y)./(x+y)
[X,Y] = meshgrid(0.1:0.1:1,0.1:0.1:1);
Z = f(X,Y);
figure(1)
surf(X,Y,Z)
grid on
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