这是一份nottingham诺丁汉大学ECON1014作业代写的成功案例

$$
\pi_{\mathrm{A}}(i)=p_{\mathrm{AA}}(i) q_{\mathrm{AA}}(i)+\left[p_{\mathrm{AB}}(i)-t\right] q_{\mathrm{AB}}(i)-f w_{\mathrm{A}}
$$
where $w_{\mathrm{A}}$ is the region A wage of the skilled workers.
Using the demand functions (8.2) and differentiating $\pi_{\mathrm{A}}(i)$ with respect to $p_{\mathrm{AA}}(i)$ and $p_{\mathrm{AB}}(i)$, we obtain two linear equations with two unknowns whose solution is given by
$$
\begin{aligned}
&p_{\mathrm{AA}}^{}\left(P_{\mathrm{A}}\right)=\frac{a+c P_{\mathrm{A}}}{2(b+c n)}, \ &p_{\mathrm{AB}}^{}\left(P_{\mathrm{B}}\right)=\frac{a+c P_{\mathrm{B}}}{2(b+c n)}+\frac{t}{2} .
\end{aligned}
$$
Hence, firms established in the same region have the same domestic and delivered prices. Using the price index definition leads to
$$
P_{\mathrm{A}}=n_{\mathrm{A}} p_{\mathrm{AA}}^{}\left(P_{\mathrm{A}}\right)+n_{\mathrm{B}} p_{\mathrm{BA}}^{}\left(P_{\mathrm{A}}\right)
$$

ECON1014 COURSE NOTES ：

$$
\begin{aligned}
\Delta V(\lambda) & \equiv V_{\mathrm{A}}(\lambda)-V_{\mathrm{B}}(\lambda)=C_{\mathrm{A}}^{}(\lambda)-C_{\mathrm{B}}^{}(\lambda)+w_{\mathrm{A}}^{}(\lambda)-w_{\mathrm{B}}^{}(\lambda) \
&=K t\left(t^{}-t\right)\left(\lambda-\frac{1}{2}\right) \end{aligned} $$ where $$ K \equiv\left[2 b f\left(3 b f+3 c L+c L_{\mathrm{a}}\right)+c^{2} L\left(L_{\mathrm{a}}+L\right)\right] \frac{L(b f+c L)}{2 f^{2}(2 b f+c L)^{2}}>0 $$ is a positive constant and $$ t^{} \equiv \frac{4 a f(3 b f+2 c L)}{2 b f\left(3 b f+3 c L+c L_{\mathrm{a}}\right)+c^{2} L\left(L_{\mathrm{a}}+L\right)}>0 .
$$