For the same Cobb$-$Douglas production function $y=x_1^{0\mathrm{.}25}{x}_2^{0\mathrm{.}25},$ and input prices $r_1=4,r_2=1,$ output price $p=10,$ solve for the profit maximization from input perspective. Your solutions are $x_1^{**}=$

$,x_2^{**}=$ The optimal output is $y^{**}=$ The maximum profit is $($Keep up to two decimal places for the calculation results.$)$ If you'd like to obtain partial credits in case your answers are wrong, please show your solving steps in the "Homework $5$ File Submission".