$w^{*}$

$p^{*}$

$e^{*}$

$q^{*}$

${\Pi }_m^{*}$

${\Pi }_p^{*}$

$\frac{4b\left(1+c_e\right)-c_e\left(1+k\right)\left(c_e+k\right)}{8b-{\left(c_e+k\right)}^2}$

$\frac{2b\left(3+c_e\right)-c_e\left(1+k\right)\left(c_e+k\right)}{8b-{\left(c_e+k\right)}^2}$

$\frac{\left(1-c_e\right)\left(c_e+k\right)}{8b-{\left(c_e+k\right)}^2}$

$\frac{2b\left(1-c_e\right)}{8b-{\left(c_e+k\right)}^2}$

$\frac{b{\left(1-c_e\right)}^2}{8b-{\left(c_e+k\right)}^2}$

$\frac{4b^2{\left(1-c_e\right)}^2}{{\left(8b-{\left(c_e+k\right)}^2\right)}^2}$