Math Problem Solver

A reputed beverage company produces two types of Cold Drinks (CD-1 and CD-2). It uses three types of

ingredients (Ingredient A, B and C) in the production process. To produce CD-1, 5 kg of ingredient A, 4

kg of ingredient B and 35 liter of ingredient C are used. On the contrary, to produce CD-2, 15 kg of

ingredient A, 4 kg of ingredient B and 20 liter of ingredient C are used. Suppose that, for the next batch of

production the firm has only 480 kg of Ingredient A, 160 kg of ingredient B and 1190 liter of ingredient

C. If the firm makes a profit of Tk.13 from each liter of CD-1 and Tk. 23 from each liter of CD-2:

a. Formulate the problem and construct the Linear Programming Model.

b. Solve the problem so as to maximize the profit.