subject: business analytic

a) Write the objective function and constraints for the above problem.

b) How much of each supplement should be used to minimize cost?

c) If the costs of both supplements increase by RM 1 each, determine the optimal

combination of supplement RX and PS to minimize cost.

A hospital would like to use two supplements, RX and PS, which costs RM 3/gram and RM 2/gram respectively to provide sufficient vitamins A, B and C to its patients. The information on the amounts of vitamins required is given in table below. Vitamin A B Supplement RX 30 units/g 40 units/g 10 units/g Supplement PS 20 units/g 15 units/g 20 units/g Requirement 200 units 180 units 120 units