In the following linearly constrained convex programming problem:

Maximize f$($x$)=5$x$\_1-$x$\_1^2+8$x$\_2-2$x$\_2^2$

Subject to $3$x$\_1+2$x and x$\_1,$x$\_2>=0$

Apply the Frank$-$Wolfe algorithm up to $4$ iterations. Note that the first $2$ are shown in the textbook. Show detailed work for the third and fourth iterations.