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:

Each 100 feet of pipe processed on routing issues 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 maximumprofit?

Transcribed Image Text:

Time Requirements (hr/100 tt) Process Melting Extruder A Extruder B Routing 1 Routing 2 Capacity (hr) 45 90 160