Suppose a team of economists recently measured the total economic benefits of implementing the 2015 climate agreement for several alternative levels of greenhouse gas emission reductions, dQ, as: TB = Bo + B₁ dQB2 where TB is the sum of total benefits, in trillions of US dollars, earned by current and future generations worldwide. The term dQ is the proportion reduction in greenhouse gas emissions from 2015 levels, a number that can range from 0 to 1. This would be a hard equation to validate and would open up considerable controversy, but would certainly be noticed. Suppose your team also measured the total economic costs of achieving the same possible proportions of GHG reductions as: IC = Co + Cı * dQ Your mission: Please calculate what proportion, dQ maximizes the difference between total benefits TB) and total costs (TC). Use calculus, a table, excel dsheet. All give the same answer. Assume these data are accurate for the six terms (parameters) above: 3o = 12; B₁ = 140; B₂ = 0.5; Co= 10; C₁ = 90; C₂ = 2.0

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 What proportion of 2015 greenhouse gas emissions reduce maximizes the difference between total benefits and total cost of emissions reduced?
Suppose a team of economists recently measured the total economic benefits of implementing the 2015
climate agreement for several alternative levels of greenhouse gas emission reductions, dQ, as:
TB Bo + B₁ *dQB2
where TB is the sum of total benefits, in trillions of US dollars, earned by current and future generations
worldwide. The term dQ is the proportion reduction in greenhouse gas emissions from 2015 levels, a
number that can range from 0 to 1. This would be a hard equation to validate and would open up
considerable controversy, but would certainly be noticed.
Suppose your team also measured the total economic costs of achieving the same possible proportions
of GHG reductions as:
TC = Co + Cı * dQ
Your mission: Please calculate what proportion, dQ maximizes the difference between total benefits
(TB) and total costs (TC). Use calculus, a table, or excel spreadsheet. All give the same answer.
Assume these data are accurate for the six terms (parameters) above:
Bo = 12; B1 = 140; B2 = 0.5; Co = 10; C1 = 90; Ca = 2.0
Transcribed Image Text:Suppose a team of economists recently measured the total economic benefits of implementing the 2015 climate agreement for several alternative levels of greenhouse gas emission reductions, dQ, as: TB Bo + B₁ *dQB2 where TB is the sum of total benefits, in trillions of US dollars, earned by current and future generations worldwide. The term dQ is the proportion reduction in greenhouse gas emissions from 2015 levels, a number that can range from 0 to 1. This would be a hard equation to validate and would open up considerable controversy, but would certainly be noticed. Suppose your team also measured the total economic costs of achieving the same possible proportions of GHG reductions as: TC = Co + Cı * dQ Your mission: Please calculate what proportion, dQ maximizes the difference between total benefits (TB) and total costs (TC). Use calculus, a table, or excel spreadsheet. All give the same answer. Assume these data are accurate for the six terms (parameters) above: Bo = 12; B1 = 140; B2 = 0.5; Co = 10; C1 = 90; Ca = 2.0
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