A part time student would like to optimize his financial decisions. Currently, he has $16,600 in his savings account. He has estimated his income and monthly expenses for each month over the next year. This data is summarized in the accompanying table. He has identified several short-term investment opportunities: a three-month CD yielding 0.60% at maturity, a six-month CD yielding 1.42% at maturity, an 11-month CD yielding 3.08% at maturity, and a savings account yielding 0.0375% per month. He would like to maintain at least $2,000 in his savings account. His objective is to maximize his cash balance at the end of the year. Develop a linear optimization model to find the best investment strategy. Assume that all cash flows take place at the beginning of each month and that interest has been added to the savings account for January.

Complete the table below to indicate the amount that should be invested each month to optimize the cash balance, and then give the final balance.

	3-month CD	6-month CD	11-month CD
January	$	$	$
February	$	$	$
March	$	$
April	$	$
May	$	$
June	$	$
July	$	$
August	$
September	$
October	$

Final Balance = $_________ (Rounded to the nearest cent)

Monthly Income and Expenses Data Month Income Expenses 1. January $3,400 $3,360 2. February $3,400 $2,900 3. March $3,400 $6,600 4. April 5. May $9,500 $2,750 $3,400 $2,800 $5,000 6. June $6,800 7. July $4,600 $3,200 8. August $3,400 $3,600 9. September $3,400 $6,550 10. October $3,400 $2,800 $3,400 11. November $2,900 12. December $5,000 $6,650 Monthly Income and Expenses Data Month Income Expenses 1. January $3,400 $3,360 2. February $3,400 $2,900 3. March $3,400 $6,600 4. April 5. May $9,500 $2,750 $3,400 $2,800 $5,000 6. June $6,800 7. July $4,600 $3,200 8. August $3,400 $3,600 9. September $3,400 $6,550 10. October $3,400 $2,800 $3,400 11. November $2,900 12. December $5,000 $6,650