The kids did great in the video.
This is an easy problem to solve. The federal lunch program only reimburses the school district IF they issue free and reduced lunches.
Granted many high school cafes offer TOO MANY choices, most of which are heat and eat type of foods. You should see that amount that gets prepared and thrown away daily.
Study after study has shown that a high school can offer a very nutritional as well as good tasting lunch for right at the same price that they do it for now. Parents should pack their kids lunches for about a month, the school cafeteria will get the message loud and clear. IMO, they can offer sandwiches, veggies - yes kids will eat them if they actually look good, some snacks and drinks.