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← Logic & PuzzlesA municipal water distribution system experiences fluctuating demand; which effect results when the system of linear equations representing water flow and pressure at each node becomes underdetermined?
A)Unique solution for flow rates
B)Inconsistent pressure measurements appear
C)Infinite possible flow rate solutions✓
D)System pressure reaches a static equilibrium
💡 Explanation
An underdetermined system has more unknowns than equations, therefore it has infinitely many solutions; this stems from the mechanism of linear dependence within the matrix representing the system. Because the flow rates are not uniquely defined, there are many possible solutions, rather than a single or inconsistent one.
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