An international graduate student will receive a

$$28,000$ foundation scholarship and reduced tuition.

She must pay $$1,500$ in tuition for each of the

autumn, winter, and spring quarters and $$500$ in the

summer. Payments are due on the first day of Septem$-$ber, December, March, and May, respectively. Living

expenses are estimated to be $$1,500$ per month, pay$-$able on the first day of the month. The foundation

will pay her $$18,000$ on August $1$ and the remain$-$der on May $1.$ To earn as much interest as possible,

the student wishes to invest the money. Three types

of investments are available at her bank: a three$-$month CD$,$ earning $0\mathrm{.}75\%$ at maturity; a six$-$month

CD$,$ earning $1\mathrm{.}9\%$ at maturity; and a $12-$month CD$,$

earning $4\mathrm{.}2\%$ at maturity. Develop a linear optimiza$-$tion model to determine how she can best invest the

money and meet her financial obligations.

Be sure to attach your spreadsheet and provide some detail on how you formulated your linear optimization model and how you interpret the results.