A television manufacturer makes console and wide-screen televisions. The profit per unit is $125 for the console televisions and $200 for the wide-screen televisions.

Write the objective function that describes the total monthly profit.
Write a system of three inequalities that describes the constraints. Evaluate the objective function for total monthly profit at each of the five vertices of the graphed region. The vertices should occur at (0,0), (0,200),(300,200),(450,100),and (450,0).