Consider the following minimization problem: Min z $=$ x$1+2$x$2$ s$.$t$.$ x$1+$ x$2>=3002$x$1+$ x$2>=4002$x$1+5$x$2<=750$ x$1,$ x$2>=0$ Find the optimal solution. What is the value of the objective function at the optimal solution? Note: The answer will be an integer. Please give your answer as an integer without any decimal point. For example, $25\mathrm{.}0($twenty five$)$ would be written $25$