You are required to provide Excel linear program setups and solutions for the following $4$ problems. Please follow the coloring rule strictly. No LINDO setup or solutions are required.

Please turn in one Excel file with solutions Problem $3.$ In anticipation of the immense college expenses of their child, a couple has started an annual investment program on the child's eighth birthday that will last until the eighteenth birthday. Judging from their expected financial position over the next $10$ years, the couple estimates that they will be able to invest the following amounts at the beginning of each year:

To avoid unpleasant surprises, the couple opts to invest the money very safely. The following options are open to them:

$1.$ Insured savings with $\backslash (7\mathrm{.}5\backslash \%\backslash )$ annual yield.

$2.$ Six$-$year government bonds that yield $\backslash (7\mathrm{.}9\backslash \%\backslash )$ and have a current market price equal to $\mathrm{.}98$ face value $($Hint: you pay $\backslash (\backslash$mathbf$\{\backslash$$ $0.98\}\backslash )$ to buy the bond worth $\backslash (\backslash$$ $1\backslash ).$ If you buy the bond at the beginning of year $1,$ you will receive interest payment of $\backslash (\backslash$$ $0\mathrm{.}079\backslash )$ every year and by the end of year six, or the beginning of year $7,$ you will receive both the interest payment and face value of $\backslash (\backslash$$ $1\backslash )$ back. You may invest in this bond at the beginning of year $\backslash (1,2,3,4\backslash ),$ and $5.)$

$3.$ Nine$-$year municipal bonds yielding $\backslash (8\mathrm{.}5\backslash \%\backslash )$ and having a current market price equal to $1\mathrm{.}02$ face value $($you pay $\backslash (\backslash$$ $1\mathrm{.}02\backslash )$ to buy the bond worth $\backslash (\backslash$$ $1\backslash ).)$

How should the couple invest the money over the next $10$ years? $($Hint: more than $\backslash$$$460$K$)$

Input Problem $3.$ In anticipation of the immense college expenses of their child, a couple has started an annual investment program on the child's eighth birthday that will last until the eighteenth birthday. Judging from their expected financial position over the next $10$ years, the couple estimates that they will be able to invest the following amounts at the beginning of each year:

To avoid unpleasant surprises, the couple opts to invest the money very safely. The following options are open to them:

$1.$ Insured savings with $\backslash (7\mathrm{.}5\backslash \%\backslash )$ annual yield.

$2.$ Six$-$year government bonds that yield $\backslash (7\mathrm{.}9\backslash \%\backslash )$ and have a current market price equal to $\mathrm{.}98$ face value $($Hint: you pay $\backslash (\backslash$mathbf$\{\backslash$$ $0.98\}\backslash )$ to buy the bond worth $\backslash (\backslash$mathbf$\{\backslash$$ $1\}\backslash ).$ If you buy the bond at the beginning of year $1,$ you will receive interest payment of $\backslash (\backslash$$ $0\mathrm{.}079\backslash )$ every year and by the end of year six, or the beginning of year $7,$ you will receive both the interest payment and face value of $\backslash (\backslash$$ $1\backslash )$ back. You may invest in this bond at the beginning of year $\backslash (1,2,3,4\backslash ),$ and $5.)$

$3.$ Nine$-$year municipal bonds yielding $\backslash (8\mathrm{.}5\backslash \%\backslash )$ and having a current market price equal to $1\mathrm{.}02$ face value $($you pay $\backslash (\backslash$$ $1\mathrm{.}02\backslash )$ to buy the bond worth $\backslash (\backslash$$ $1\backslash ).)$

How should the couple invest the money over the next $10$ years? $($Hint: more than $\backslash$$$460$K$)$ Problem $3$ College Plan

Input

Tips:

Use Green to show the "Given Information" cells Use Blue to show the "Decision Variable" cells Use Red to show the "Objective" cell Use Black to show the "Working Process" cells