I've managed to reduce my problem to this ;where NORMINV(Q,mu,sigma)=inverse of the normal cumulative distribution with mean 'mu',stddev 'sigma'

Is it possible to solve such a problem in Matlab?i just want to confirm or how i can make it mathlab compatible.

my problem is having derivatives in the constraints function.

maximize Q

s.t

n

Sum (NORMINV(Q,mu_i ,sigma_i ) * k_i ) <= K

i=0

where k_i,K ,n are known constants.

thank you