Trying to graph a 3 variable probability function

So I'm trying to Maximize f(x), for f(x) = 1/(3.5a+2.5b+3c+1)

but I'm not interested in the ''trivial'' solutions where a, b or c = 0 etc.. I'm looking for a visual representation to see the maximums

0 < a < 1

0 < b < 1

0 < c < 1

I've tried to create a matrix with 3 columns of probabilites for a,b,c but it seems it will only calculate the f(x) for a=b=c which is quite annoying tbh, does someone know how to do this please...im going crazy over here.. i've also tried meshgrid, surf and other functions but nothing is working...

Answer 1

[darova]

Use isosurface to visualize

[a,b,c] = meshgrid(0:0.1:2);
f = 1./(3.5*a+2.5*b+3*c+1);
cla
hold on
for fk = 0 :0.1:1
    isosurface(a,b,c,f,fk)
end
hold off