Water was pumped from the same soil profile shown in Figure $3.$ According to one study, if

vertical stress change at point B exceeds $104$kPa, the ground surface will have settlements exceeding a tolerable

threshold for constructing a Hospital on the ground surface. Respond to the following questions:

$($a$)$ What GWT depth will cause to surpass the tolerable threshold?

$($b$)$ What are the total and effective stress at point A and B at the tolerable threshold?

$($c$)$ What are the horizontal total and effective stresses at points A and B at the tolerable threshold?

Note: Assume that the total densities do not change due to the GWT drop.