An industrial chemical company has three facilities A, B, and C. Each facility produces polyethylene (PE), polyvinylchloride (PVC), and polystyrene (PS). The table below gives the daily production output (in metric tons) for each facility. (Note: The facility does not operate on weekends.) Facility B C. Product PE 10 30 40 PVC 20 50 70 PS 10 50 SO (a) Find vectors a, b, and that give the daily production amounts at each facility PE PVC C PS (b) Compute 15 metric tons of satility in metric tons of PVC, and metric tons of PE Describe what the entries tellus. The company produces Describe what the entries tellus. The company produces wooks, metric tons of PS at facility in metric tons of PVC, and metric tons of PE (c) Determine the combined output from all three facilities over a 4-week period PE metric tons PVC metric tons PS metric tons (d) Determine the number of days of production from each facility required to produce 260 metric tons of polyethylene, 460 metric tons of polyvinyl chloride and 340 metric tons of polystyrene. facility A days facility B days facility C days