Interpret key features of rational, square-root, cube-root, and other function models in context.
Interpret a contextual extremum with quantities and units
Problem
On its feasible production domain, profit \(P(q)\) in dollars has a global maximum at \((20,~1500)\), where \(q\) is units produced. State the extremum type and interpret \(\text{both}~\text{coordinates}\) with quantities and units.
Big Picture
What this problem is really about
An extremum coordinate is a sentence in compressed form: the first coordinate names the input situation, and the second names the resulting output. Attach the correct quantity and unit to each before interpreting the word global. That qualifier compares the output with every feasible input, not merely nearby production levels.
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