. The plant manager of a plastic pipe manufacturer has the opportunity to use two different routings for a particular type of plastic pipe. Routing 1 uses extruder A and routing 2 uses extruder B. Both routings require the same melting process. The following table shows the time requirements and capacities of these processes: TIME REQUIREMENTS (HR/100 FT) Process Routing 1 Routing 2 Capacity (hr) Melting 1 1 45 Extruder A 3 0 90 Extruder B 0 1 160 Each 100 feet of pipe processed on routing 1 uses 5 pounds of raw material, whereas each 100 feet of pipe processed on routing 2 used only 4 pounds. This difference results from differing scrap rates of the extruding machines. Consequently, the profit per 100 feet of pipe processed on routing 1 is $60 and on routing 2 is $80. A total of 200 pounds of raw material is available. a. Create a set of linear equations to describe the objective function and the constraints. b. Use graphic analysis to find the visual solution. c. What is the maximum profit?