$9$

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

$00$:$42$:$50$

$\backslash$table$[[,$Round,Square,Triangle$],[$Selling price per unit,$$24,$$$26,$$$20],[$Variable cost per unit,$$10,$$$10,$$$12],[\backslash$table$[[$Machine Hour usage per unit$],[($MH$)]],2$ MH$,4$ MH$,4$ MH$]]$

The company has a limit of $14,800$ 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 $1,100$ machine hours per month. What is the maximum monthly rent the company would be willing to pay for this machine?