where x$1,$ x$2,$ and x are the amounts of products A$,$ B$,$ and C and the constraints reflect the available capacities of M$1,$ M$2,$ and M$3.$ The optimum solution for the problem is as follooptimal solution: x$1=0,$ x$2=100,$ x$3=230$optimal value: maximum profit, Z $=1350$shadow prices: $1\mathrm{.}0,2\mathrm{.}0,$ and $0\mathrm{.}0$ for constraints $1,2$ and $3$ respectivelyreduced costs: for x$1=3\mathrm{.}0,$ for x$2=0,$ for x$3=0$RANGES ON RIGHT$-$HAND$-$SIDE $($RHS$)$ CONSTRAINTS