Consider the following primal problem and its dual linear programs: Primal LP: min cx$,$ st$.$ Ax$>=$b$,$ x$>=0.$ Dual LP: max wb$,$ st$.$ wA$<=$c$,$ w$>=0.$ a$)$ What happens to the dual solution if the k$-$th primal constraint is multiplied by a nonzero scalar $\backslash$theta $?$ b$)$ What happens to the dual solution if a constraint multiplied by a scalar is added to another primal constraint? c$)$ What happens to the primal and the dual if a column multiplied by a scalar is added to another column?