The problem is: Beth works a maximum of 20 hours/week programming computers and tutoring math. She receives 25 dollars/hour for programming and 20 dollars/hour for tutoring. She works between 3 and 8 hours/week programming, but always gives more time to tutoring. How many hours should she work at each job to maximize her income?
Let x = # hours programming and y = # hours tutoring.
My constraints are:
Total hours: x+y≤20 Hours programming: 3≤x≤8 Hours tutoring: y>x
My objective function is:
25x + 20y = maximum profit
Here is my graph:
And from looking at the corner points, I can say that the answer is 8 hours programming and 12 tutoring. Is this plus all my other work correct?