Let x be the number of software programs to be produced and y be the number of video games to be produced
We have this system of constraints
x ≤ 200
y≤ 300
x + y ≤ 425
And we wish to maximize this objective function
50x + 35y
Look at the graph of the constraints, here : https://www.desmos.com/calculator/bbbhypnku7
The possible values of (x , y) occur at the corner points of the feasible region , namely at (125, 300) or ( 200, 225)
Plugging these into the objective function, we get
50(125) + 35(300) = $16,750
50(200) + 35(225) = $17,875
Then....200 software programs should be produced and 225 video games should be produced