这是一份nottingham诺丁汉大学ECON2015作业代写的成功案例

Maximize total surplus: $\quad-\sum_{i} c_{i} f_{i}+\sum_{i} b_{i} f_{i}$
subject to:
Balance of flow: $\sum_{i \in S_{k}} f_{k}=\sum_{i \in E_{j}} f_{j} \quad(\forall$ nodes $j$ )
Conveyance capacity: $\quad d_{i} \leq f_{i} \leq u_{i}(\forall \operatorname{arcs} i)$

ECON2015 COURSE NOTES ：

tion effort $\left(x_{i, j} / X_{t}\right)$. Hence, user $i$ s pay-off in period $t$ equals:
$$
\pi_{i, l}^{C P R}\left(x_{i, l}, X_{l}\right)=w\left[e-x_{i, l}\right]+\frac{x_{i, l}}{X_{l}}\left[A X_{l}-B X_{l}^{2}\right]-v x_{i, l}
$$
with $A-v-w>0$. The socially optimal extraction effort level is the one that maximizes the unweighted sum of the pay-offs of all $N$ users in the group as defined in (6.1). Therefore, the equitable socially optimal extraction effort level is $x^{*}=(A-v-w) / 2 N B$.