Problem 2 Central Critical Chemical (CCC) manufactures three chemicals: A, B and C. These chemicals are produced via two production processes: 1 and 2. • Running process 1 for an hour costs $4 and yields 3 units of A, 1 unit of B, and 1 unit of C. • Running process 2 for an hour costs $1 and yields 2 units of A and 1 unit of B. To meet customer demand, at least 6 units of A, 3 units of B, and 1 unit of C must be produced daily. Suppose you are asked to formulate an LP model for CCC to determine an optimal daily production plan (i.e., how many hours should CCC run process 1 and how many hours should CCC run process 2 each day) that minimizes the total cost. (a) Write down LP model and clearly define the decision variables, the objective function, and constraints. (b) Solve the LP model using the graphical method. (c) Provide a justification on why the divisibility assumption holds for the problem.