ABC town has recently had a large influx of families with young children. The town manager realizes that in a few years the population in the ABC School System will start to grow dramatically. The township can hire additional staff and accommodate the additional students with the existing buildings. Alternatively, an adjacent town has offered to educate ABC students for $$7,000$ per student. Although this would be somewhat unusual, it is not unheard of$.$ And if the neighboring town has excess capacity, why should ABC add more classes? Suppose that the township currently has $2,500$ students and believes that the new influx will cause the size of the town$$s student body to rise to $3,000.$