Solve using excel solver The company SchoolDesk produces desks of different sizes for kindergartens, primary and secondary schools, and colleges. The legs of the desks all have the same diameter, with different lengths: 40 cm for the smallest ones, 60 cm for medium height, and 70 cm for the largest ones. These legs are cut from steel bars of 1.5 or 2 meters. The company has received an order for 108 small, 125 medium and 100 large desks. How should this order be produced if the company wishes to minimize the trim loss?

\begin{tabular}{lccccc} \hline & Pattern number & 40cm & Leg types 60cm & 70cm & Loss (in cm) \\ \hline Bar type 1 & 1 & 0 & 0 & 2 & 10 \\ (1.5m) & 2 & 0 & 1 & 1 & 20 \\ & 3 & 2 & 0 & 1 & 0 \\ & 4 & 0 & 2 & 0 & 30 \\ & 5 & 2 & 1 & 0 & 10 \\ & 6 & 3 & 0 & 0 & 30 \\ \hline Bar type 2 & 7 & 0 & 1 & 2 & 0 \\ (2m) & 8 & 0 & 2 & 1 & 10 \\ & 9 & 1 & 0 & 2 & 20 \\ & 10 & 3 & 0 & 1 & 10 \\ & 11 & 0 & 3 & 0 & 20 \\ & 12 & 5 & 0 & 0 & 0 \\ \hline \end{tabular} \begin{tabular}{lccccc} \hline & Pattern number & 40cm & Leg types 60cm & 70cm & Loss (in cm) \\ \hline Bar type 1 & 1 & 0 & 0 & 2 & 10 \\ (1.5m) & 2 & 0 & 1 & 1 & 20 \\ & 3 & 2 & 0 & 1 & 0 \\ & 4 & 0 & 2 & 0 & 30 \\ & 5 & 2 & 1 & 0 & 10 \\ & 6 & 3 & 0 & 0 & 30 \\ \hline Bar type 2 & 7 & 0 & 1 & 2 & 0 \\ (2m) & 8 & 0 & 2 & 1 & 10 \\ & 9 & 1 & 0 & 2 & 20 \\ & 10 & 3 & 0 & 1 & 10 \\ & 11 & 0 & 3 & 0 & 20 \\ & 12 & 5 & 0 & 0 & 0 \\ \hline \end{tabular}