Problem preview
A-CED.3 Warmup M3-010-A10-V01

Represent constraints and systems, then interpret viable and non-viable solutions in modeling contexts.

Choose the optimal feasible candidate after checking all constraints

Problem

\(\text{Three}\) viable designs have costs \(80\), \(95\), and \(70\). Determine the cost-minimizing design.

Big Picture

What this problem is really about

Feasibility and optimization are separate filters. Once every listed design is confirmed viable, compare them only on the stated objective—in this case, minimizing a common dollar cost. Order the costs from least to greatest and verify the minimum against every alternative before naming the corresponding design.

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Four variants of this problem type
Curriculum context
Course
Math III
Standard
A-CED.3
Category
Algebra
Domain
Creating Equations
Objective
Represent constraints and systems, then interpret viable and non-viable solutions in modeling contexts.
Problem type
Choose the optimal feasible candidate after checking all constraints