Use the complete process of linear programming to solve the problem, below.

Trashia runs a factory that makes cell phones. Each XL$2000$ takes $50$ minutes of labor to install the battery, $33$ minutes of labor to wire the connections, and $72$ minutes of machine time to build the circuit boards. Each MX$300$ requires $75$ minutes of labor to install the battery, $33$ minutes of labor to wire the connections, and $36$ minutes of machine time to build the circuit boards. Between all of its machinery and employees, the factory has up to $750$ minutes of labor to install the battery, $363$ minutes of labor to wire the connections, and $648$ minutes of machine time to build the circuit boards each day. If each XL$2000$ generates $$43$ in income, and each MX$300$ generates $$8,$ how many of each of the cell phones should Trashia have the factory make each day to have the most income?

XL$2000$:

MX$300$:

Income: