Business I / Systems of Linear Equations
Practice question · Select all that apply

A factory models output with Ax=bAx = b and finds the system incompatible. Which statements are true?

Hints
  1. Incompatible means the constraints contradict each other structurally.
  2. Rescaling the right-hand side need not cure a contradiction.
Show the answer
  • B. Geometrically, some constraint lines/planes never meet
  • C. rank(Ab)rank(A|b) exceeds rank(A)rank(A)
  • D. The constraints contradict each other, no production plan satisfies all of them
Why

Incompatibility is a structural contradiction between constraints. Rescaling bb may or may not cure it, the fix is renegotiating constraints, not multiplying wishes.

Read the lesson: Systems of Linear Equations →

Practise Systems of Linear Equations

The app has 7 more questions on this lesson, and keeps your place in the course. Business I is free to start.

More questions on Systems of Linear Equations