用图解法求解下列线性规划问题，并指出问题是具有唯一最优解无穷多最优解、无界解还是无可行解？(1),max,z=(x)_(1)+3(x)_(2)5{x)_(1)+10(x)_(2)leqslant 50 (x)_(1)+(x)_(2)geqslant 1 (x)_(2)leqslant 4 (x)_(1),(x)_(2)geqslant 0.

用图解法求解下列线性规划问题，并指出问题是具有唯一最优解无穷多最优解、无界解还是无可行解？

$\left(1\right)\,max\,z={x}_{1}+3{x}_{2}$

$\left\{\begin{array}{l}5{x}_{1}+10{x}_{2}\leqslant 50\\ {x}_{1}+{x}_{2}\geqslant 1\\ {x}_{2}\leqslant 4\\ {x}_{1},{x}_{2}\geqslant 0\end{array}\right.$

$\left(2\right)\,min\,z={x}_{1}+1.5{x}_{2}$

$\left\{\begin{array}{l}{x}_{1}+3{x}_{2}\geqslant 3\\ {x}_{1}+{x}_{2}\geqslant 2\\ {x}_{1},{x}_{2}\geqslant 0\end{array}\right.$