A linear programming computer package is needed. purchase costs per unit are shown. straps manufactured, and TP= number of straps purchased. Express time in minutes per unit.) Min Cutting constraint Check which variable(s) should be in your answer. 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 hrs Milling hrs Shaping hrs (d) How much (in \$) should Frandec be willing to pay for an additional hour of time in the shaping department? $ (e) Another manufacturer has offered to sell frames to Frandec for $45 each. Could Frandec improve its position by pursuing this opportunity? Why or why not? (Round your answer to three decimal places.) - The reduced cost of indicates that the solution be improved