A linear programming computer package is needed. \begin{tabular}{|l|c|c|} \hline Component & Manufacturing Cost & Purchase Cost \\ \hline Frame & $37.00 & $50.00 \\ \hline Support & $10.50 & $14.00 \\ \hline Strap & $5.50 & $6.50 \\ \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} straps purchased. Express time in minutes per unit.) Min Cutting constraint Milling constraint Shaping constraint Frame constraint Support constraint Strap constraint 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)=() (b) What is the total cost (in \$) of the manufacturing and purchasing plan? $ (c) How many hours of production time are used in each department? (Round your answers to two decimal places.) Cutting Milling Shaping hrs hrs hrs (d) How much (in \$) should Frandec be willing to pay for an additional hour of time in the shaping department? . The reduced cost of indicates that the solution be improved