A linear programming computer package is needed. supplier, but the frames, supports, and straps may be either manufactured by the company or purchased from an outside supplier. Manufacturing and purchase costs per unit are shown. hours) for the three departments are as follows. manufactured, SP= number of supports purchased, TM= number of straps manufactured, and TP= number of straps purchased. Express time in minutes per unit.) Min 39FM+52FP+12.50SM+16SP+7.50TM+8.50TP Cutting constrain 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? $ decimal places.) . The reduced cost of indicates that the solution be improved