Project. Project. Table of Contents. Question 1 1. Ques

PROJECT

Table of Contents
Question 1................................................................................................................ 1
Question 2................................................................................................................ 2
Question 3................................................................................................................ 3

Question 1
1.
Level A1 C1(A1)=3.A13
Level A2 C2(A2)=1+A2
Total emission = A1+A2
=3.A13 + 1+A2
The problem structure is f(x,y) = f(A1,A2)
Maximizing subject to a set of constraints:
Max f(x,y)
Subject to g (x,y)>=0
2.
Marginal Abatement Cost
Total emission A=A1+A2
Lowest total cost C=C1+C2
Level A1 C1(A1)=3.A13 = A1=1/3
Level A2 C2(A2)=1/3+1/3 = 2/3
3.
cost minimal of abatement
ques b1
G(S) = 2 S (1-S)
ρ=0.04
extraction costs are C(R) = 0.25 R2 [€]
p(R) = 0.6-R [€/ton]
= ρ + p(R)
=0.04+0.6-R [€/ton]
=0.04+0.6+0.25
=0.89
Question 2
1.
P ̇ = ρP
lim t→∞ e −ρtP(t)S(t) = 0
G(S) = 2 S (1-S)
Assume S =0.4