Different colors of ink

Question

FreakyTatts Ink Company mixes three additives, A1, A2, and A3, in different proportions, and a base to obtain different colors of ink. Red ink is obtained by mixing A1, A2, and A3 in the ratio of 1:2:3, blue ink in the ratio of 2:3:4, and green in the ratio of 3:2:1. After these additives are mixed to make a certain color, an equal amount of base is added to finish making this color. The company currently has 2500 gallons of A1, 2000 gallons of A2, 1500 gallons of A3, and 4000 gallons of base. Given that the selling price per gallon for each type of ink is the same, formulate an LP model to determine how these resources should be used to obtain the maximum revenue.

Answer 1

In the solution, A linear programming problem that is used to determine the product mix. here, the combination of three additives and base to produce Red, Blue and Green Ink. Since the selling price is same for all the three inks, the objective function is to determine the optimal mix to maximize the revenue.