Question: 1. (10 points) A contractor has three highway construction projects that need hox-mix asphalt concrete (HMAC) simultaneously. Two asphalt mixing plants can deliver the asphalt

1. (10 points) A contractor has three highway

1. (10 points) A contractor has three highway construction projects that need hox-mix asphalt concrete (HMAC) simultaneously. Two asphalt mixing plants can deliver the asphalt concrete to the three project sites. The unit costs (material + hauling) in dollars per ton of HMAC from each plant to each site are: From 1 To Site 1 Site 2 / Site 3 Plant A 125 130 155 Plant B 135 120 L 145 The production capacity at Plants A, B are 300, and 200 tons/day, respectively. The demands at the sites 1, 2, 3 are 150, 200, and 100 tons per day, respectively. The contractor wants to minimize the total cost. Formulate the problem as a linear programming problem. Identify the control variables, objective function and constraints

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