Can someone help me with this?

A company makes a profit of $50 per software program and $35 per video game. The company can produce at most 200 software programs and at most 300 video
games per week. Total production cannot exceed 425 items per week. How many items of each kind should be produced per week in order to maximize the profit?
In this linear programming problem, solve the system to determine the vertices of the feasible region and use those (x, y) values in the objective function to find the maximum profit. Show all your work.
Objective Function:
P = 50x + 35y

Question

Can someone help me with this?

A company makes a profit of $50 per software program and $35 per video game. The company can produce at most 200 software programs and at most 300 video
games per week. Total production cannot exceed 425 items per week. How many items of each kind should be produced per week in order to maximize the profit?
In this linear programming problem, solve the system to determine the vertices of the feasible region and use those (x, y) values in the objective function to find the maximum profit. Show all your work.
Objective Function:
P = 50x + 35y