A company manufactures two products A and B. The unit revenues are $2 and $3 respectively. Two raw materials (M1 and M2) used in manufacture of the two products have daily availabilities of 18 and 28 units respectively. One unit of A uses 2 units of M1 and 2 units of M2, and 1 unit of B uses 3 units of M1 and 6 units of M2.
a) Determine the shadow prices of M1 and Mi
b) Suppose that 4 additional units of M1 can be acquired at the cost of 30 cents per unit. Would you recommend the additional purchase?
c) If M2 availability is increased by 5 units, determine the associated optimum revenue
d) What is the most value the company should pay per unit of M2?