A linear programming computer package is needed. may be either manufactured by the company or purchased from an outside supplier. Manufacturing and purchase costs per unit are shown. \begin{tabular}{|l|c|c|} \hline Component & Manufacturing Cost & Purchase Cost \\ \hline Frame & $39.00 & $52.00 \\ \hline Support & $12.50 & $16.00 \\ \hline Strap & $7.50 & $8.50 \\ \hline \end{tabular} \begin{tabular}{|l|c|c|c|} \hline \multirow{2}{*}{ Component } & \multicolumn{3}{|c|}{ Department } \\ \cline { 2 - 4 } & Cutting & Milling & Shaping \\ \hline Frame & 3.5 & 2.2 & 3.1 \\ \hline Support & 1.3 & 1.7 & 2.6 \\ \hline Strap & 0.8 & - & 1.7 \\ \hline Capacity (hours) & 350 & 420 & 680 \\ \hline \end{tabular} Min39FM+52FP+12.5SM+16SP+7.5TM+8.5TPCuttingconstraint3.5FM+1.3SM+.08TM21000Millingconstraint2.2FM+1.7SM25200Shapingconstraint3.1FM+2.6SM+1.7TM40800FrameconstraintFM+FP5500SupportconstraintSM+SP11000StrapconstraintTM+TP5500 FM,FP,SM,SP,TM,TP0 How many of each component should be manufactured and how many should be purchased? (Round your answers to the nearest whole number.) (FM,FP,SM,SP,TM,TP)=(5500,0,4038,4962,0,5500) (b) What is the total cost (in \$) of the manufacturing and purchasing plan? $343,615.38 (c) How many hours of production time are used in each department? (Round your answers to two decimal places.) CuttingMillingShaping350279.42407.5hrshrshrs