$[15$ points$]$ A company produces three products, Round, Square, and Triangle, with the following costs and selling prices:

The company has a limit of $14,400$ machine hours available per month. The company has a monthly fixed cost of $$30,000.$ The demand for each of the products is $2,500$ units per month. The company's goal is to maximize its profitability.

Suppose the company can rent a machine that will provide an additional $1,000$ machine hours per month. What is the maximum monthly rent the company would be willing to pay for this machine?

Multiple Choice

$$4,000$

$$3,500$

$$3,200$

$$2,000$