Say I have three constants a, b and c (all > 0) and three variables x, y and z (all >= 0). I want to find values for x, y, z which maximise the lowest of the following:
ax - y - z -x + by - z -x -y + cz
How can I find these values?
EDIT: just corrected expressions -- variables and constants were wrong way around
EDIT: x, y and z all must be >=0