A company makes a profit of $15 per software program and $10 per video game. The company can produce at most 70 software programs and at most 80 video games per week. Total production cannot exceed 100 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.


HERE are some steps that will help you answer this problem and get a good grade:
x = the number of Software programs produced.
Now define what y = like I defined what x = above:
y=
write the constraint on x:
x
write the constraint on y:
y
write a relationship inequality related to the production total for both x and y with x and y in the inequality equation:


Now take the above 3 inequality equations into desmos. com and graph the result, copy your resulting graph here:

Now test the points you find by plugging in the (x, y) pair, to see which produces the greatest profit, take the (x, y) pair from your graph.