operation Research

what is the objective function and the specifications constraints of the suffer content for a plant 1 can be defined as??

1 4 9 9 10 6 4 7 9 The Jordan Phosphate Mines Company (JPMC) operates three mines in Jordan: Eshidiya, Al Hassa, and Wadi Al-Abiad mines. It supplies phosphate to four different plants. The cost of shipping phosphate from each mine to each plant, the capacity at each of the three mines, the demand at each plant and the percentage of Fluoride and sulfur content per ton of phosphate at each mine are shown in the following table: Plant Mine %Fluoride % Sulfur 2 3 Mine Capacity(tons) Eshidiya 12 220 Al Hassa 5 7 12 170 Wadi Al-Ablad 4 3 11 5 7 Demand (tons) 110 The cost of mining and processing phosphate is $62 per ton at Eshidiya, 567 per ton at Al Hassa, and S75 per ton at Wadi Al-Abiad. Each plant has different cleaning equipment. Plant 1 requires that the phosphate it receives have no more than 6% Fluoride and 5% sulfur; plant 2 phosphate can have no more than 5% Fluoride and sulfur combined; plant 3 can have no more than 5% Fluoride and 7% sulfur; and plant 4 can have no more than 6% Fluoride and sulfur combined. JPMC wants to determine the amount of phosphate to produce at each mine and ship to its customers that will minimize its total cost. The objective function for this problem can be defined as: 14 160 280 90 180