I would like to have Sage maximize 605^{x0}4^{x1}*3^{x2}, where x0, x1, x2 are nonnegative integers such that
x0+x1+x2=2k-4 and x1+2*x2 >= 3k-3,
where k is any nonnegative integer such that 1<= k <=20. I would like to create a loop so that Sage does this for me for each of these values of k.
I know that Sage has a tool called minimize_constrained, but I can't find a tool called "maximize_constrained". Please help! Thank you in advance :-)