Hello, need help with this math.

1.) A company has determined that the demand function for a certain is given by p = 3,500 - 0.75x, where p is the price per recliner is $625,000, and each recliner cost $900 to make.

• Build a function that models revenue as a function of recliner sold. Define your variables.

• Build a function that models cost as a function of recliner sold. Define your variables.

Determine how many recliners should be manufactured and sold in order to maximize profit. Answer with a complete sentence and show how you got the max.