Past exam of the year 1 of the computer science course of the University of Oxford / 2015 / Digital systems, linear algebra, introduction to formal proof (resit) / 4 / c

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- Solution c

Solution

Since

F_{1} = 200 + t

and

t \geq 0

, its minimum is attained at

t = 0

:

F_{1}^{m i n} = 200, (F_{2}, F_{3}, F_{4}) = (0, 100, 50) cars per hour .

Zero flow on the

B \to C

arc is allowed; no strictly positive lower bound was specified.

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