A company produces two products, A and B. The unit revenues are $2 and $3, respectively. Two raw materials, M1 and M2, used in the manufacture of the two products have respective daily availabilities of 8 and 18 units. One unit of A uses 2 units of Ml and 2 units of M2, and 1 unit of Buses 3 units of Ml and 6 units of M2.
(a) Determine the optimality condition for that will keep the optimum unchanged.
(b) Determine the optimality ranges for CA and C8, assuming that the other coefficient is kept constant at its present value.
(c) If the unit revenues CA and CB are changed simultaneously to $5 and $4, respectively, determine the new optimum solution.
(d) If the changes in (c) are made one at a time, what can be said about the optimum solution?