Problem Statement: An operations manager is trying to determine a production plan for the next week. There are three products $($say$,$ P$,$ Q$,$ and Q$)$ to produce using four machines $($say$,$ A and B$,$ C$,$ and D$).$ Each of the four machines performs a unique process. There is one machine of each type, and each machine is available for $2400$ minutes per week. The unit processing times for each machine is given in Table $1.$The unit revenues and maximum sales for the week are indicated in Table $2.$ Storage from one week to the next is not permitted. The operating expenses associated with the plant are $$6000$ per week, regardless of how many components and products are made. The $$6000$ includes all expenses except for material costs.Optimization Models and Methods