Problem description: In this problem, we will consider a production$/$distribution problem over a six$-$week

planning horizon. A manufacturing firm $($The Company$)$ produces goods of a single variety in two

production facilities, denoted P$1$ and P$2.$ The facilities are in different geographic locations, where

production costs per item are $$3800$ and $$5100,$ respectively. There are no fixed production costs. The

facilities have limited capacity. P$1$ can produce $600$ products per week, and P$2$ can produce $900$ products

per week. Production scheduled in week t is ready in week t$+1.$ Earlier production decisions were made

such that $500$ items will be ready for shipment in week $1$ at facility P$1,$ and $500$ items in week $1$ at P$2.$