Acompany 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.

Let x = software program
let y = video game

x < 200 ; y < 300

x + y < 425

50x ; 35y

x = 200 ; y = 225
50(200) + 35(225) = 10,000 + 7,875 = 17,875

x = 125 ; y = 300
50(125) + 35(300) = 6,250 + 10,500 = 16,750

x = 175 ; y = 250
50(175)   + 35(250) = 8,750 + 8,750 = 17,500

it is more profitable to maximize production of software program when working within the limits provided.