A linear programming computer package is needed.

savings $($at $\backslash (4\backslash \%\backslash )$ annually$)$ and government securities$,$ at prices and rates currently quoted in The Wall Street Journal.

$($a$)$ Use linear programming to find the minimum cash settlement necessary $($in $\backslash$$$)$ to fund the annual payments. $($Round your answer to the nearest dollar.$)$

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$\backslash (\backslash$$ $\backslash )$ answer to the nearest dollar.$)$

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