ASsIgnment Problem

Big Inc. assigns programmers to develop

programs. A programmer's assignment to a

program generates profit, as shown in the table

above $($ In Hundreds$).$ Find out which

assignment of the programmer to the program

will incur MAXIMUM profit. There are certain

situations we need to take into account while

we are doing the assignments. Firstly, each

program needs at least two programmers

working on each program. Secondly, Roy and

Amy can work on up to only three projects.

Thirdly, Jack has mentioned that he wants to

work on program $5.$

Fourthly, Mary wants to work on at

least three programs. Finally, program $2$

requires Mary's expertise.