$[$NEED AN EXCEL TABLE REPRESENTATION!! PLEASE SHOW HOW TO SOLVE IN EXCEL$].$ 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 $$500$ in the summer. Payments are due on the first day of September, December, March, and May, respectively. Living expenses are estimated to be $$1,500$ per month, payable on the first day of the month. The foundation will pay her $$18,000$ on August $1$ and the remainder 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 threemonth $CD,$ 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 optimization model to determine how she can best invest the money and meet her financial obligations.