Use geometric methods to solve design problems under constraints such as cost, space, or ratios.
Decide whether a design is feasible under area, volume, or cost constraints
Problem
Is design A feasible under these constraints: design A has area \(90\) and cost \(120\); the limits are area at least \(80\) and cost at most \(150\)?
Big Picture
What this problem is really about
Translate each verbal limit into its own inequality before combining conclusions. A minimum requirement is checked with a greater-than-or-equal comparison, while a maximum allowance uses less-than-or-equal; the difference from each boundary measures slack. The design is feasible only if every required comparison passes at the same time.
Inside Gozunta
Turn the preview into practice.
More than a preview
Gozunta lets you study this problem—and more than 10,000 others.
Create targeted learning sessions, use hints, check your answer, read the walkthrough, watch the video, print the work, and track your progress.
