A Pharmaceutical company produces two types of drug composites called X and T using from two raw materials R1 & R2. The requirement of raw material for these drug composites as well as their availability along with the profit per tons is given in the following table:
Tons of Raw Material In Tons Maximum Availability/day (tons)
X T
Material R1 6 4 24
Raw Material R2 1 2 6
Profit/Ton 5 4
Market survey indicates that the daily demand for T cannot exceed that of X by more than 1 ton. Also, maximum daily demand of T is 2 tons. Determine the optimal product mix that maximizes total daily profit.