An industrial chemical company has three facilities A, B, and C. Each facility p

Question

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. Give vectors a, b, and c that give the daily production amounts at each facility. Compute 15c. Describe what the entries tell us. Determine the combined output from all three facilities over 4-week period. Determine the number of days of production from each facility required to produce 170 metric tons of polyethylene, 290 metric tons of polyvinyl chloride and 250 metric tons of polystyrene.

Explanation / Answer

d) Facility A = (170+ 290+250) / (10 + 20 + 10) = 710 / 40 = 17.75 days

Facility B = (170+ 290+250) / (30 + 50 + 50) = 710 / 130 = 5.46 days

Facility C = (170+ 290+250) / (20 + 30 + 30) = 710 / 80 = 8.875 days

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