Consider the statement: "Mary wants to (spend, at least spend,

Consider the following linear system
$y=A_1{x}_1+A_2{x}_2$
subject to the linear constrains
$C_1{x}_1+C_2{x}_2\le d$
I am looking for a solution for the above linear system that gives more priority to the coordinates corresponding to $x_1$ compared to those of $x_2$. This is what I precisely mean by priority
If $x_1$ alone can geenerated the given y while $x_2$ is kept at its minimum feasible value.
If there are infinite number of solutions for $x_1$ in step 1 then we take the minimum norm solution.
If $x_1$ alone cannot generate y then we allow $x_2$ to participate in generating y with the optimal $x_1$ obtained in step 1 and 2.
If there are infinite solutions for $x_2$, then we take the minimum norm solution.
How to formuate the above described problem as an optimization problem for instance QP?

Simplify the following expression:
${\displaystyle \frac{8}{4-\sqrt{6n}}}$

${\displaystyle \left(\frac{x}{2}\right)+\left(\frac{5}{6}\right)=\frac{x}{3}}$

Prove:
${\displaystyle \underset{n\to \mathrm{\infty }}{lim}\ln \left(\frac{n+1}{n}\right)=0}$

Solve
${\displaystyle {(4+\sqrt{15})}^x+{(4-\sqrt{15})}^x=62}$

Find the Laplace transform of ${\displaystyle f\left(t\right)=\left(\sin t–\cos t\right)2}$

The absolute value of -6 is equal to the distance on a number line between.
1)-6 an 6
2)-6 and 1
3)0 and 6
4)1 and -6