A convention planning service has identified three suitable hotels for a convention. The quoted room rates are for single, double, triple, and quadruple occupancy. The current cost for each type of room at each hotel is represented by the matrix

A

A = \left[ \begin{array} { l l l } 85 & 91 & 98 \\95 & 103 & 110 \\103 & 109 & 120 \\113 & 121 & 129\end{array} \right]

where the columns correspond to each hotel and the rows correspond to single, double, triple, and quadruple occupancy respectively. If room rates are guaranteed not to increase by more than 10% by the time of the convention, what is the maximum rate per room per hotel?
A)

\left[ \begin{array} { l l l } 93.50 & 100.10 & 98.00 \\104.50 & 113.30 & 110.00 \\113.30 & 119.90 & 120.00 \\124.30 & 133.10 & 129.00\end{array} \right]

\left[ \begin{array} { l l l } 93.50 & 100.10 & 107.80 \\104.50 & 113.30 & 121.00 \\103.00 & 109.00 & 120.00 \\113.00 & 121.00 & 129.00\end{array} \right]

\left[ \begin{array} { l l l } 93.50 & 100.10 & 107.80 \\104.50 & 113.30 & 121.00 \\113.30 & 119.90 & 132.00 \\124.30 & 133.10 & 141.90\end{array} \right]

\left[ \begin{array} { l l l } 93.50 & 91.00 & 107.80 \\104.50 & 103.00 & 121.00 \\113.30 & 109.00 & 132.00 \\124.30 & 121.00 & 141.90\end{array} \right]

\left[ \begin{array} { l l l } 85.00 & 100.10 & 107.80 \\95.00 & 113.30 & 121.00 \\103.00 & 119.90 & 132.00 \\113.00 & 133.10 & 141.90\end{array} \right]

Given A=[5−10−5−505−151010]A = \left[ \begin{array} { c c c } 5 & - 10 & - 5 \\- 5 & 0 & 5 \\- 15 & 10 & 10\end{array} \right]A=​5−5−15​−10010​−5510​​

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Given $A = \left[ \begin{array} { c c c } 5 & - 10 & - 5 \\- 5 & 0 & 5 \\- 15 & 10 & 10\end{array} \right]$

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