Hi, can someone help me with this question:
a set of 24 duplexes (so 48 units) was sold to a new owner. the previous owner charged $700 per month for rent and had all 48 units occupied. The new owner started raising the rent so as to increase the amount of money made each month. when the price was raised to $750 a month, there were only 47 units occupied. when the price was raised to $800 each month, two of the units were empty. Let x = the number of $50 rent increase the new owner makes. give an equation for the monthly rental income for the new owner - assuming the pattern for number of units occupied continues in the fashion of the first two increases, and find the maximum monthly rental income the new owner can achieve. what is the monthly rent at this point??

Question

Hi, can someone help me with this question: 
a set of 24 duplexes (so 48 units) was sold to a new owner. the previous owner charged $700 per month for rent and had all 48 units occupied. The new owner started raising the rent so as to increase the amount of money made each month. when the price was raised to $750 a month, there were only 47 units occupied. when the price was raised to $800 each month, two of the units were empty. Let x = the number of $50 rent increase the new owner makes. give an equation for the monthly rental income for the new owner - assuming the pattern for number of units occupied continues in the fashion of the first two increases, and find the maximum monthly rental income the new owner can achieve. what is the monthly rent at this point??