where the variables of the multivariable optimization problem are integers. Use Extension$-2$ type

approach, $($i$.$e$.,$ Treat the multiple variables together as one structure or as one vector$).$ Answer

the following:

$($a$)$ Let $[4,5,3,1,1,1{]}^T$ be the current solution. Ignore Constraints $(2)$ & $(3),$ and write all the

possible feasible immediate neighbors $($star neighbors or unit neighbors$)$ of the current solution.

$($b$)$ Let $[4,5,3,1,1,1{]}^T$ be the current solution. Ignore Constraints $(2)$ & $(3),$ and write $3$ possible

feasible extended neighbors of the current solution.