Let x, y, and z be positive real numbers. Find the minimum value of
a=1; b=1;c=1;p=39;d=(a +2*b+ 4*c) *(4/a + 2/b + 1/c);if(d==36, goto6, goto7);printd, a, b, c;p=p-1;if(p>=1, goto4,0); a++;if(a<50, goto4, 0);a=1;b++;if(b<50, goto4, discard=0; a=1;b=1;c++;if(c<50, goto4, 0)
The minimum value =36 and x, y, z take on an infinite number of values. Here are just a few:
mv x y z
36 4 2 1
36 8 4 2
36 12 6 3
36 16 8 4
36 20 10 5
36 24 12 6
36 28 14 7
36 32 16 8
36 36 18 9
36 40 20 10
36 44 22 11
36 48 24 12