The solution is (see part (a)):
We are given w = 50, so the first two equations in the solution become
The first equation asserts (among other things) that z cannot exceed 150 (or else x would be negative).
The second equation asserts (among yet other things) that z cannot exceed 125 (or else y would be negative).
Since all the equatoins must hold simultaneaously, it follows that z cannot exceed 125. Thus, at most 125 vehicles per hour drive down Fasttack Ave.
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