To determine whether the state should install the new set of scales, we need to calculate the net saving per year.
To do this, we need to subtract the cost of operating the new scales ($100,000 per year) from the amount of money the state would save in taxes by reducing the time trucks spend at the weigh station.
If the new scales would reduce the time trucks spend at the weigh station by even one minute per year, the state would save $15,000 in taxes. Therefore, the net saving per year would be $15,000 - $100,000 = -$85,000.
Since the net saving per year is negative, it would not be a good decision for the state to install the new set of scales. The state would be losing money by doing so.
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