medium · SAT Math

A production facility makes two products, Alpha and Beta. Each Alpha requires 4 hours of assembly and 1 hour of testing. Each Beta requires 2 hours of assembly and 3 hours of testing. The facility has a maximum of 40 assembly hours and 30 testing hours available per week.

Which of the following points (a, b), representing the number of Alpha and Beta units respectively, lies within the feasible region?

  1. (2, 10)
  2. (12, 0)
  3. (8, 5)
  4. (5, 5)

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