A coffee manufacturing company has two different plants that roast imported coffee beans. After roasting, the plants produce three types of coffee beans, A, B, and C. The company has contracted with a chain of cafes to provide per week, 20 tons of coffee bean A, 11 tons of coffee bean B, and 18 tons of coffee bean C.
The two plants have the same capacity, but diverse operational features as below:
Manufacturing Cost per Ton ($)
Plant A B C Capacity
P1 900 1125 875 25
P2 850 1200 950 25
Demand 20 11 18
Formulate and solve all-integer model that will determine how many tons of each type of coffee beans are produced in each plant by minimizing the total cost.