Represent constraints and systems, then interpret viable and non-viable solutions in modeling contexts.
Interpret a modeling boundary with equality, inclusion, and feasible side
Problem
An increasing cost \(C(x)\) must satisfy \(C(x)~\le~\$100\), and \(C(20)~=~\$100\) for \(x\) units produced. State the boundary, whether it is included, the feasible interval, and its meaning.
Big Picture
What this problem is really about
A boundary pairs the input where the cost reaches the budget with that exact output and its units. The less-than-or-equal condition includes equality, while the increasing model determines that smaller production values lie on the feasible side. Intersect that side with nonnegative production to describe the full interval and interpret its upper endpoint.
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