A college student has five full days until his next, and last, final exam.While he feels the need to study heavily for the test, he also needs to put in time on his job to pay living expenses.His job pays $6.25 per hour, and daily he can work as many or as few
hours as he wishes.He figures that each hour he spends studying,
daily, will contribute 10 points to his final exam score.To maintain his scholarship, he must achieve at least an 85 on the exam.(Of course, he must score at least 50 to avoid failing the
course.) Also, to stay abreast of his bills, he would like to earn $50 daily.A quick calculation verifies that he will need 16.5 hours a day to meet both objectives.Failing the course is to be avoided, at all costs.However, he believes he can devote only 14 hours daily to the two endeavors.
A.Formulate this as a goal programming problem, where achieving an 85 exam score is twice as important as earning $50 daily.
B.What should the student do?

Question

Quizplus · Accepted Answer

The Answer of A college student has five full days until his next, and last, final exam.While he feels the need to study heavily for the test, he also needs to put in time on his job to pay living expenses.His job pays $6.25 per hour, and daily he can work as many or as few
hours as he wishes.He figures that each hour he spends studying,
daily, will contribute 10 points to his final exam score.To maintain his scholarship, he must achieve at least an 85 on the exam.(Of course, he must score at least 50 to avoid failing the
course.) Also, to stay abreast of his bills, he would like to earn $50 daily.A quick calculation verifies that he will need 16.5 hours a day to meet both objectives.Failing the course is to be avoided, at all costs.However, he believes he can devote only 14 hours daily to the two endeavors.
A.Formulate this as a goal programming problem, where achieving an 85 exam score is twice as important as earning $50 daily.
B.What should the student do?

A College Student Has Five Full Days Until His Next