An industrial chemical company has three facilities A, B, and C. Each facility produces polyethylene (PE), polyvinyl chloride (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 Product A B C PE 10 30 20 PVC 20 50 30 PS 10 50 30 (a) Give vectors a, b, and c that give the daily production amounts at each facility. PE a = b PVC PS (b) Compute 10c. Describe what the entries tell us. The company produces metric tons of PE, metric tons of PVC, and metric tons of PS at facility C in weeks. (c) Determine the combined output from all three facilities over a 3-week period. PE metric tons PVC metric tons PS metric tons

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An industrial chemical company has three facilities A, B, and C. Each facility produces polyethylene (PE), polyvinyl chloride (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
Product
A B
C
PE
10
30
20
PVC
20
50
30
PS
10
50
30
(a) Give vectors a, b, and c that give the daily production amounts at each facility.
PE
a =
b
PVC
PS
(b) Compute 10c.
Describe what the entries tell us.
The company produces
metric tons of PE,
metric tons of PVC, and
metric tons of PS at facility C in
weeks.
(c) Determine the combined output from all three facilities over a 3-week period.
PE
metric tons
PVC
metric tons
PS
metric tons
Transcribed Image Text:An industrial chemical company has three facilities A, B, and C. Each facility produces polyethylene (PE), polyvinyl chloride (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 Product A B C PE 10 30 20 PVC 20 50 30 PS 10 50 30 (a) Give vectors a, b, and c that give the daily production amounts at each facility. PE a = b PVC PS (b) Compute 10c. Describe what the entries tell us. The company produces metric tons of PE, metric tons of PVC, and metric tons of PS at facility C in weeks. (c) Determine the combined output from all three facilities over a 3-week period. PE metric tons PVC metric tons PS metric tons
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