Mary is about to start her full$-$time one$-$year master degree at OKU. She will live in a dorm. The

dorm rental for the whole year is $$59000.$ The tuition fee is $$225000.$ The general living expenses are

$$43000.$ At this moment, her former boss offers Mary a part$-$time job that will require her to work $20$

hours per week. This is work from home and thus does not require any travelling expenses and other

expenses. And, Mary is so familiar with the work that she will not accumulate any valuable work

experience from the job. In total, the part$-$time job pays $$47500$ for the year. If Mary does not take up

the part$-$time job, she will be able to use all her time to study, and to participate in extra$-$curricular

activities $($such as case competition, mentorship program, etc.$).$ She is then expected to obtain a

decent GPA and also develop some good leadership skills via the extra$-$curricular activities. Expenses

related to the extra$-$curricular activities amount to $$15500$ for the year. In contrast, if Mary takes

up the part$-$time job, she will have no time to participate in any of the extra$-$curricular activities.

In addition to giving up leadership skill development, she expects to obtain a poorer GPA from her

study. She values the higher GPA and the leadership skill development by the amount of $W$.$ Mary

should take up this part$-$time job only