A company makes a profit of $40 per software program and $55 per video game. The company can produce at most 200 software programs and at most 300 video games per week. Total production cannot exceed 400 items per week. How many items of each kind should be produced per week in order to maximize the profit?

a) Write the function that you’re trying to maximize/minimize.

b) Write the system of inequalities that describes the constraints.

c) Graph the system of inequalities and find the vertices.

d) What is the maximum profit? How many of each item should be produced in order to maximize profit?