4. Coalco produces coal at 3 mines and ships it to 4 customers. The cost per ton of producing coal, the ash and sulfur content (per ton) and the production capacity (in tons) for each mine are given below. The number of tons demanded by each customer are also given below. The cost of shipping a ton of coal from a mine to each customer is given as well. It is required that the total amount of coal shipped contain at most 5% ash and at most 4% sulfur. Formulate an LP that meets the customer needs. [35 points) Mine Production Cost ($) 50 Capacity (tons) 120 100 140 55 Ash Content (tons) 0.08 0.06 0.04 Sulfur Content (tons) 0.05 0.04 0.03 62 Mine Production Cost ($) Capacity (tons) 120 Ash Content (tons) 0.08 0.06 0.04 Sulfur Content (tons) 0.05 0.04 0.03 100 140 Customer Demand 1 80 2 3 70 60 4 40 Customer Mine 1 2 3 4 6 8 96 711 38 1235 4. Coalco produces coal at 3 mines and ships it to 4 customers. The cost per ton of producing coal, the ash and sulfur content (per ton) and the production capacity (in tons) for each mine are given below. The number of tons demanded by each customer are also given below. The cost of shipping a ton of coal from a mine to each customer is given as well. It is required that the total amount of coal shipped contain at most 5% ash and at most 4% sulfur. Formulate an LP that meets the customer needs. [35 points) Mine Production Cost ($) 50 Capacity (tons) 120 100 140 55 Ash Content (tons) 0.08 0.06 0.04 Sulfur Content (tons) 0.05 0.04 0.03 62 Mine Production Cost ($) Capacity (tons) 120 Ash Content (tons) 0.08 0.06 0.04 Sulfur Content (tons) 0.05 0.04 0.03 100 140 Customer Demand 1 80 2 3 70 60 4 40 Customer Mine 1 2 3 4 6 8 96 711 38 1235