Calculate the minimum value of the cost function given below together with the other given constraint functions. Parameters given in the question

a$,$b; One vector each in n$-$dimensional space and c$,$d in $($defined in the set of real numbers are defined as scalars$).$ It is also the optimization parameter

x is given as a vector in dimensional space. Solve the problem considering the KKT conditions. State what the relationships between the parameters should be for each possible solution.$f=|x{|}^2,axc,bxd$