An aquifer in unconsolidated sediments covers an area of $295$ square miles $(1$ square mile $=640$ acres$)$ in a valley not unlike the Santa Clara Valley. The specific yield of the aquifer is $0\mathrm{.}18.$ An acre$-$ft is a volume of water one acre in area and $1$ foot deep.

$($a$)$ An irrigation district wants to know how much water they can remove from the aquifer $($in acre$-$ft$)$ if they lower the water table by $25ft.$ Calculate the quantity of water they can remove if they lower the water table by $25ft.$

$($b$)$ The underlying bedrock has a storativity of $5{10}^{-3}.$ How far $($in feet$)$ would they have to lower the piezometric surface in that bedrock aquifer to remove one tenth of the volume of water they would be getting out of the valley$-$fill aquifer $($which you just calculated$)?$

$($c$)$ They plan to use the water to irrigate a crop covering $80\%$ of the valley. The crop has a growing season evapotranspiration rate of $70$ inches of water. Will they have enough water to satisfy the water demand of this crop if they lower the water table by $25ft$ and use the water they produce for irrigation?