$[10$ pts$]$ Solving LP problems:

Write the following linear programming $($LP$)$ problem in LP standard form. Find all basic

solutions and identify the feasible solution$($s$).$ Calculate the cost function values at the

basic feasible solution$($s$)$ and identify the optimum solution$($s$).$

$($You can summarize in a table like in lecture and book examples$)$

Minimize $=142$

subject to $1+22<=5$

$21+2=4$

$1+2<=1$

$1,2>=0$