A month after he moved into the dorm, he decided he would prefer to live in an apartment. That week, after some searching for a replacement to fulfill his dorm contract, Jay had two offers. One student offered to move in immediately and to pay Jay $30 per month for the eight remaining months of the school year. A second student offered to move in the second semester and pay $190 to Jay. Jay now has $1050 left
(after paying the $600 dorm bill and food for a month) which must provide for all his room and board expenses for the balance of the year. He estimates his food cost per month is
$120 if he lives in the dorm and $100 if he lives in an apartment with three other students. His share of the apartment rent and utilities will be $80 per month. Assume each semester is 4.5 months long. Disregard the small differences in the timing of the disbursements or receipts.
Solution
1. Recognize problem; (0.5)
Jay Thompson is left with the fee he paid for the university dormitory, which is non-refundable
•
2. Define the goal or objective; (0.5)
Recover the paid deposit and minimize the lose
3. Assemble relevant data; (1)
• Jay paid = 600 (for accommodation for a year) +
120 (1 month food)
• Food cost for Jay 100/month if he stay in apartment • Food cost for jay 120/month, if he stay in dorm
• Apartment rent 80/month
• Offer 1: 30 per month for eight month