Suppose that traffic congestion has rendered the distance-based impedance function unsuitable for Problem 12-16. A detailed survey yields present-day commodity flows shown below. In the future, state #1 lumber production will increase to 18,000 and state #2 lumber consumption will increase to 21,800. Estimate the lumber flows between the three states.
Problem 12-16:
The amount of lumber produced and consumed by three states is shown in the following table. Intrastate shipment distances are 200 miles and interstate distances are 800 miles (between states 1 and 2), 1000 miles (between states 1 and 3), and 400 miles (between states 2 and 3). Assuming an impedance function of the form 1/d, estimate the tonnage of lumber that will travel between the three states:
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