$6-$ You and your partner are trying to manage four tasks at home, let's call them A$,$ B$,$ C$,$ and D$.$ You come up with the

following table showing how long takes for each of you to do any of the tasks $($in hours$).$ In the table you and your

partner are denoted by Y and P$.$ Formulate an abstract $($called symbolic$)$ binary integer programming model for this

problem $($in a way that tasks are divided fairly, each person doing two tasks, and all the tasks are done$).$

$7-$ Write a goal programing problem which is unique to you and your life and cannot be like any other classmates you

have. Then, write the mathematical model for your own problem. Your problem should have at least two decision

variables, one hard constraint, and two soft constraints. Please clearly define each variable and constraint, and then

write which category they belong to$.$