Bi) The village water tank has a capacity of 625000 cubic feet of water. This tank supplies water to 4350 households, which use an average of 25 cubic feet of water per day. All of a sudden, the village officials realize that the pump that fills the tank has failed. At this time the tank contains 157000 cubic feet of water. How long do they have to get the pump repaired before the tank runs dry?

Bii} he village officials succeed in repairing the pump before the tank runs dry. When they turn on the pump, the tank contains only 61000 cubic feet of water. The newly repaired pump can throw new water into the tank at a rate of (210000 E^t)/(4.1 + 1.2 E^t)cubic feet per day, where t is measured in days since the officials turned on the newly repaired pump. Is this pump fast enough to keep the tank from running dry while the tank continues to supply the 4350 households that use an average of 25 cubic feet of water per day?

Biii)How many extra cubic feet of water over and above the water pumped in do the village officials need to add to the tank to keep the tank from running dry?