Oops.. missed a constraint... sigh.. hehe
100 people, eh? Well, there are still multiple solutions because there are three variables and only two constraints.
The solutions all lie along the line segment created where the two plane segments intersect...
10a + 3s + 0.5c = 100
a + s + c = 100
a, s, c > 0
Looks like we are gonna have lots of unsupervised children... wouldn't want to be at that show.
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