Agenica is a pharmaceutical manufacturing company that makes liquid multivitamins for a number of brands, a process called white labelling. It has formulations for two new brands, Sureway and Target which they are trying to break into the competitive but high profitable multivitaminmarket. The Marketing Department just got accepted for a trade show and needs these two products to be manufactured in 8 hrs. The two main ingredients in the multivitamins are Zinc and Vitamin C. The Sureway brand requires 5mg of Zinc and 0.2 mg of Vitamin C in each bottle. The Target brand requires 4mg of Zinc and 0.1 mg of Vitamin C in each bottle. The Federal Drug Administration (FDA) has stipulated that for this class of multivitamins, Zinc must be no more than 100mg and Vitamin C must be no less than 3mg per bottle. Agenica requires 12 minutes to manufacture a bottle of Sureway and 48 minutes for a bottle of Target. Agenica will sells a bottle of Sureway for $15 and a bottle of Target for $18 for the tradeshow.

a)Use X₁ and X₂ to define the variables indicating which variable is X₁ and X₂

b)Derive Agenica's Objective Function in terms of X₁ and X₂]

c)What are the Constraints under which Agenica must operate

d)Graphically illustrate the Feasible Region

e)State the coordinates of the corner points e.g A(2,7), B(12,5)

f)Determine optimal solution

Determine the revenue the optimal solution