A coffee manufacturing company has two processing plants $($P$1$ and P$2)$ 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 coffee beans each

week in the following quantities$20$ tons of type A$,11$ tons of type B$,$ and $18$ tons of

type C$.$ The two plants have the same capacity, but their diverse operational procedures

affect costs per ton as below.

Manufacturing Cost per Ton $($$$)$

Plant A B C Capacity

P$1900112587525$

P$2850120095025$

Demand $201118$

Formulate and solve the all$-$integer model that will determine how many tons of each

type of coffee bea. AMPL code