Constraints with Varying Slopes
The above constraints were all horizontal or vertical lines, but sometimes constraints can have positive or negative slopes like we saw in earlier lessons. The solution steps are still the same, but you are less likely to have fully redundant constraints. Complete the following practice problem with a sloped constraint.
You have a maximum of 7 hours after school to either do homework (x) or hang out with friends (y). Your mother says you need to do at least 2 hours of homework every night and you want to spend at least 3 hours with your friends. Find and interpret three possible solutions to how to spend your evening time.
Fill in the right side of the table below for this problem.