STEELCO manufactures two types of steel (steel 1 and steel 2) at two locations (plant 1 and
Question:
STEELCO manufactures two types of steel (steel 1 and steel 2) at two locations (plant 1 and plant 2). Three resources are needed to manufacture a ton of steel: iron, coal, and blast furnace time. The two plants have different types of furnaces, so the resources needed to manufacture a ton of steel depend on the location (see Table below). Each plant has its own coal mine. Each day 12 tons of coal is available at plant 1 and 15 tons at plant 2. Each day, plant 1 has 10 hours of blast furnace time available, and plant 2 has 4 hours available. Iron ore is mined in a mine located midway between the two plants; 80 tons of iron is available each day. Each ton of steel 1 can be sold for $170/ton, and each ton of steel 2 can be sold for $160/ton. All steel that is sold is shipped to a single customer. It costs $80 to ship a ton of steel from plant 1, and $100 a ton from plant 2. BlueRail is a railway company which can ship coal between the two plants at $50/ton. However, BlueRail does not accept a job less than 6 tons. Steelco needs to maximise its profit. Please use linear programming (LP) to help Steelco decide whether to hire BlueRail or not. (10 marks)
Mathematical Applications for the Management Life and Social Sciences
ISBN: 978-1305108042
11th edition
Authors: Ronald J. Harshbarger, James J. Reynolds