# Math Help - Demand, Revenue, Maximize

1. ## Demand, Revenue, Maximize

The manager of a 150-unit apartment complex knows from experience that all units will be occupied if the rent is $800 per month. A market survey suggests that, on average, one additional unit will remain vacant for each$10 increase in rent. Find,
a) the demand (or price) function assuming that it is linear
b) the revenue;
c) the rent that will maximize the revenue.

2. Originally Posted by drahcirnaw
The manager of a 150-unit apartment complex knows from experience that all units will be occupied if the rent is $800 per month. A market survey suggests that, on average, one additional unit will remain vacant for each$10 increase in rent. Find,
a) the demand (or price) function assuming that it is linear
b) the revenue;
c) the rent that will maximize the revenue.
let x = number of \$10 increases

revenue , R(x) = (150-x)(800+10x)