Gas Power Inc. is looking for natural gas suppliers for its four power plants. The company...

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Gas Power Inc. is looking for natural gas suppliers for its four power plants. The company considers bids from five traders. The bids, maximum daily supplies available from each bidder, and the monthly demand for each plant are summarized in the following table (here MCF stands for thousand standard cubic feet): max Bids ($/MCF) supply Plant-> 1 2 3 4 (MCF) Trader 1 4.50 5.60 4.65 4.75 120 Trader 2 3.50 3.50 4.20 4.70 180 Trader 3 3.55 4.20 3.70 5.50 150 Trader 4 6.00 5.70 4.60 3.90 100 Trader 5 3.35 4.95 3.95 4.00 90 0 Gas req (MCF) 100 150 80 120 The following additional requirements need to be taken into account: 1. Trader 1 will only supply Plant 2 if it orders at least 50 MCF of gas. 2. Trader 2 wants the total amount it supplies to all plants to be a multiple of 60 MCF. 3. Trader 3 is only interested working with Gas Power Inc. if it orders all the 150 MCF the trader can supply. 4. Trader 4 requires that if it supplies less than 40 MCF to Plant 4, then it must supply at least 40 MCF to Plant 3. 5. Trader 5 insists that at least one of the following conditions is satisfied: supply to Plant 1 is at least 40 MCF; supply to Plant 2 is exactly 80 MCF; supply to Plant 3 is at most 50 MCF. Formulate the problem of minimizing the monthly cost of natural gas supplies while satisfying all the requirements as an MIP. Implement and solve your model in AMPL. Report your solution below. MCF of gas supplied daily from each trader to each plant: Plant-> 1 Trader Trader 2 Trader 3 Trader 4 Trader 5 Optimal monthly cost: $ 2 3 4 Gas Power Inc. is looking for natural gas suppliers for its four power plants. The company considers bids from five traders. The bids, maximum daily supplies available from each bidder, and the monthly demand for each plant are summarized in the following table (here MCF stands for thousand standard cubic feet): max Bids ($/MCF) supply Plant-> 1 2 3 4 (MCF) Trader 1 4.50 5.60 4.65 4.75 120 Trader 2 3.50 3.50 4.20 4.70 180 Trader 3 3.55 4.20 3.70 5.50 150 Trader 4 6.00 5.70 4.60 3.90 100 Trader 5 3.35 4.95 3.95 4.00 90 0 Gas req (MCF) 100 150 80 120 The following additional requirements need to be taken into account: 1. Trader 1 will only supply Plant 2 if it orders at least 50 MCF of gas. 2. Trader 2 wants the total amount it supplies to all plants to be a multiple of 60 MCF. 3. Trader 3 is only interested working with Gas Power Inc. if it orders all the 150 MCF the trader can supply. 4. Trader 4 requires that if it supplies less than 40 MCF to Plant 4, then it must supply at least 40 MCF to Plant 3. 5. Trader 5 insists that at least one of the following conditions is satisfied: supply to Plant 1 is at least 40 MCF; supply to Plant 2 is exactly 80 MCF; supply to Plant 3 is at most 50 MCF. Formulate the problem of minimizing the monthly cost of natural gas supplies while satisfying all the requirements as an MIP. Implement and solve your model in AMPL. Report your solution below. MCF of gas supplied daily from each trader to each plant: Plant-> 1 Trader Trader 2 Trader 3 Trader 4 Trader 5 Optimal monthly cost: $ 2 3 4