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 that for political reasons no road can be built connecting Gary and Fort Wayne, and no road can be built connecting South Bend and Evansville. We would like to formulate an appropriate network model using acyclicity constraints and do not write any redundant constraints to find the minimum length of road required. 1. Gary 2. Fort Wayne 3. Evansville 4. Terre Haute 5. South Bend 132 217 164 58 1. Gary 2. Fort Wayne 3. Evansville 132 290 201 79 217 290 113 303 4. Terre Haute 164 201 113 196 5. South Bend 58 79 303 196 (a) [2 points] Decision variables? (b) [5 points] Objective and objective function? (c) [13 points] Constraints?