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Back to Represent constraints with equations — Problem 1 · Task Set 27

HSA.CED.A.3 Tutor Intake — Constraints, Feasible Regions, and Viable Solutions

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Grade 9·8 problems·~12 min·Common Core Math - HS Algebra·standard·hsa-ced-a-3
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A

Concepts

1.

A company makes product A and product B. The following conditions apply:

  • The total production time must be at most 120 hours (product A takes
    2 hours each; product B takes 3 hours each).
  • The company must produce at least 15 units total.
  • Product B production is capped at 40 units.
  • Neither product can be produced in a negative quantity.

Let aa = units of product A and bb = units of product B. How many
constraints does this situation have in total (including non-negativity)?