Four employees, Anthea, Bob, Cho and Dario, are each assigned a different duty by their manager.
The time taken for each employee to complete duties 1,2,3 and 4, in minutes, is shown in the table below
\begin{array} {|l|c|c|c|c|}
\hline \rule{0pt}{2.5ex} \text{} \rule[-1ex]{0pt}{0pt} & \text{Duty 1} & \text{Duty 2} & \text{Duty 3} & \text{Duty 4} \\
\hline \rule{0pt}{2.5ex} \text{Anthea} \rule[-1ex]{0pt}{0pt} & \text{8} & \text{7} & \text{7} & \text{8}\\
\hline \rule{0pt}{2.5ex} \text{Bob} \rule[-1ex]{0pt}{0pt} & \text{10} & \text{8} & \text{10} & \text{9}\\
\hline \rule{0pt}{2.5ex} \text{Cho} \rule[-1ex]{0pt}{0pt} & \text{8} & \text{9} & \text{7} & \text{10}\\
\hline \rule{0pt}{2.5ex} \text{Dario} \rule[-1ex]{0pt}{0pt} & \text{7} & \text{7} & \text{8} & \text{9}\\
\hline
\end{array}
The manager allocates the duties so as to minimise the total time taken to complete the four duties.
The minimum total time taken to complete the four duties, in minutes, is
- 29
- 30
- 31
- 32