Problem $4(20$ points $20$ minutes$)$

An alluvial formation is in direct hydraulic connection with a river and a canal, and it is underiain by horizontal impervious bottom. The hydraulic conductivity of the porous medium is $K=14\mathrm{.}5\frac{m}{?}$ day. The value of $h_1$ is $17\mathrm{.}6m$ and the value of $h_2$ is $15\mathrm{.}3m.$ The distance from river to canal $L$ is $525m.$ There is an average recharge rate of $7m\frac{m}{?}$ day.

$($a$)$ What is the average discharge per unit with at $x=0m?$

$($b$)$ What is the average discharge per unit with at $x=525m\text{'}$

$($c$)$ Where is the water divide located?

$($d$)$ What is the maximum height of the water table?

$($e$)$ If the $K$ vulue $151\mathrm{.}5\frac{m}{?}$ day, what will happen to the discharge and maximum height of water table? $($Just comments without calculation$).$