2-firm manufacturing office furniture provides you the following information regarding resource consumption and availability and profit contribution. \begin{tabular}{|c|c|c|c|c|} \hline \multirow{2}{*}{ Resources } & \multicolumn{3}{|c|}{ Usage per unit } & \multirow{2}{*}{ Availability } \\ \cline { 2 - 4 } & Tables & Chairs & Book-Case & \\ \hline Timber (cu. ft.) & 8 & 4 & 3 & 640 \\ \hline Assembly dept. (man-hours) & 4 & 6 & 2 & 540 \\ \hline Finishing Dept. (man-hours) & 1 & 1 & 1 & 100 \\ \hline Profit contribution per unit (?) & 30 & 20 & 12 & \\ \hline \end{tabular} The firm wants to determine its optimal product mix. Formulate the LPP and solve with the Simplex method. Find the optimal product mix and the total maximum profit contribution.