) A pharmaceutical company produces two pharmaceutical products: A and B. Production of both these products requires the same process P1 and P2. The production of B also results in a byproduct C at no extra cost. The product A can be sold at a profit of Sh.3 per unit and B at a profit of Sh. 8 per unit. Some quantity of this by-product can be sold at a unit profit of Sh. 2, the remainder has to be destroyed and the destruction cost is Sh. 1 per unit. Forecasts show that only up to 5 units of C can be sold. The company gets 3 units of C for each unit of B produced. The manufacturing times are 3 hours per unit for A on process I and II, respectively, and 4 hours and 5 hours per unit for B on process P1 and P2, respectively. Because the product C is a byproduct of B, no time is used in producing C. The available times are 18 and 21 hours of process P1 and P2, respectively. Required: Formulate this problem as an LP model to determine the quantity of A and B which should be produced, keeping C in mind, to make the highest total profit to the company.