The distances (in miles) between the Indiana cities of Gary, Fort Wayne, Evansville
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The distances (in miles) between the Indiana cities of Gary, Fort Wayne, Evansville

Question 3. The distances (in miles) between the Indiana cities of Gary, Fort Wayne, Evansville, Terre Haute, and South Bend are shown in the table below. It is necessary to build a state road system that connects all these cities. Assume the for political reasons no road can be built connecting Gary and Fort Wayne, and no road can be built connecting South Bend and Evansville. What is the minimum length of road required?


Hint
MathematicsIn this, the MST method will be used starting at Gary. Also, the closest city here would be South Bend at 58 miles. Also, the next shortest distance is between South Bend and Fort Wayne at 79 miles. So, the next shortest distance here would be between Gary and Terre Haute at 164 miles. Therefore, the next shortest distance is between Terre Haute and Evansville at 113 miles and the minim...

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