Computer Science.....

Consider production function $f(x_1,x_2)=x_1^{\frac{1}{2}}{x}_2^{\frac{1}{2}}($input $1$ is labor and input $2$ is capital$).$

$($a$)$ Draw isoquant curves for $y=2$ and draw iso$-$cost curves for $w_1=1$ and $w_2=4.$

$($b$)$ Find the long$-$run cost for $y=2.$

$($c$)$ Draw a short$-$run production function by fixing capital at $x_2=1.($Take $x_1$ on the horizontal axis and $y$ on the vertical axis$).$

$($d$)$ Fix capital input at $x_2=1.$ Draw a short$-$run labor$-$requirement curve by inverting the short$-$run production function. $($Take $y$ on the horizontal axis and $x_1$ on the vertical axis$).$

$($e$)$ Fix capital input at $x_2=1.$ What is the fixed cost $F?$ What is the variable cost function $C_v(y)?$ Derive it analytically. What is the total cost function $C(y)=F+C_v(y)?$

$($f$)$ Derive the marginal cost and average cost function analytically $($go back to the definitions$).$ Draw them on a figure.

Write a code to reverse a number