( READ CAREFULLY FOR WHAT MY QUESTION IS) 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? Use linear programming to solve. Show all your work.

( the answer is
0 < x < 200 ; 0 < y < 300
x+y≤425

Z=50x+35y
x=125;y=300
50(125)+35(300)=6,250+10,500=16,750
x=200;y=225
50(200)+35(225)=10,000+7,875=17,875 )(correct me if I'm wrong )
(i only need you to graph it) pic is attcahed.