Suppose there are two plants that emit a pollutant. Plant 1 can abate emissions by the level
A1 at costs C1 (A1) = 3. A1 3 . Plant 2 can abate emissions by the level A2 at costs C2 (A2)
= 1 +A2. You have the objective to reduce total emissions by A = A1+ A2, with A = 1, at the
lowest total costs C = C1 + C2.
1. Formulate this as a constrained optimasation problem and write down the lagrangian.
2. Compute the marginal abatement costs from both plants.
3. Compute the cost minimal of abatement plant one and plant two
1.
2.
3.
"A_1=\\frac {1}{3}"
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