Respuesta :
Total cost of reducing pollution if the pollution permit trading is not allowed is $4,500. This cost is reduced to $3,500 if the pollution permit trading is allowed.
Using unitary method, total cost can be calculated as:
total cost = cost per unit x number of units.
In the given problem,
data of Firm A
chemical waste = 50 tons
cost of eliminate pollutant = $100 per ton
pollution permit from government = 20 tons
total cost of reducing pollution of firm A = (50 - 20) x $100
= 30 x $100 = $3,000
data of Firm B
chemical waste = 50 tons
cost of eliminate pollutant = $50 per ton
pollution permit from government = 20 tons
total cost of reducing pollution of firm B = (50 - 20) x $50
= 30 x $50 = $1,500
Hence, total cost of firm A and firm B if they don't sell/buy pollution permit to each other = $3,000 + $1,500 = $4,500
If the firms are allowed in trading the pollution permit, then firm A will buy the pollution permit of firm B.
Hence, the costs are:
total cost of reducing pollution of firm A = (50 - 40) x $100
= 10 x $100 = $1,000
total cost of reducing pollution of firm B = 50 x $50 = $2,500
Hence, total cost of firm A and firm B if pollution permit trading is allowed = $1,000 + $2,500 = $3,500
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