PLEASE DO NOT COPY PASTE FROM CHEGG/OTHERWISE I'LL REPORT YOU OR GIVE OU A DISLIKE

2. Solve the problems below and if there exists an equilibrium, which will consist of nonnegative values for $x_{1}, x_{2}$, and the price/Lagrange multiplier for the constraint, find it. $\begin{array}{111}\text { (d)} & \max & 4\left(x_{1} ight)^{2}+2\left(x_{2} ight)^{2} \\& \text { s.t. } & x_{1}+2 x_{2} \leq 10 & & x_{1}, x_{2} \geq 0\end{array} $ (e) $\max \min \left(\alpha x_{1},"\beta x_{2} ight]$ $$ \begin{array(11) \text { s.t. } & x_{1}+x_{2} \leq IC\text { where } \alpha, \beta, I>0) W & x_{1}, x_{2} \geq 0 \end{array} $SCS. SD. 174