Tom's Tailoring Has Five Idle Tailors and Four Custom Garments $\quad$

Tom's Tailoring has five idle tailors and four custom garments to make.The estimated time (in hours)it would take each tailor to make each garment is listed below.(An 'X' in the table indicates an unacceptable tailor-garment assignment.) $\quad$$\quad$$\quad$$\quad$$\quad$$\quad$$\quad$$\quad$$\quad$$\quad$$\quad$$\quad$$\quad$$\quad$$\quad$$\quad$$\text { Tail or }$
$$\begin{array} { l c c c c c } \text { Garment } & 1 & 2 & 3 & 4 & 5 \\\hline \text { Wedding gown } & 19 & 23 & 20 & 21 & 18 \\\text { Clown costume } & 11 & 14 & \mathrm { X } & 12 & 10 \\\text { Admiral's uni form } & 12 & 8 & 11 & \mathrm { X } & 9 \\\text { Bullfighter's outfit } & \mathrm { X } & 20 & 20 & 18 & 21\end{array}$$ Formulate and solve an integer program for determining the tailor-garment assignments that minimize the total estimated time spent making the four garments.No tailor is to be assigned more than one garment and each garment is to be worked on by only one tailor.