Problem: Consider the following Linear Programming Problem
P:
\[
\text { Minimize } 3 x_1 + 4 x_2
\]
subject to
\begin{align*}
& x_1-x_2 \leq 1, \\
& x_1+x_2 \geq 3, \\
& x_1 \geq 0, \quad x_2 \geq 0 .
\end{align*}
The optimal value of the problem
P is _______________.
Solution: I encourage you to attempt to solve the problem today. The solution will be provided tomorrow. This will give you the opportunity to test your understanding of the problem and to improve your skills in solving similar problems in the future.