The solution is (see part (a)):
To obtain a particular solution, choose arbitrary non-negative values for z and w. Since we are told that w must be 1,000, we are left to choose a value for z, so let us take z = 0, giving
as one possible solution. There are lots of other possible ones (and infintely many, in fact, since the number of vehicles passing per hour need not be an integer.)
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