Steel Company manufactures three types of steel at different plants. The time required to manufacture 1 ton of steel (regardless of type) and the costs at each plant are shown in Table below. Each plant is open 40 hours per week. Each week, 100 tons of each type of steel (1, 2, and 3) must be produced. Cost (35) Time Plant Steel 1 Steel 2 Steel 3 (min/ton) l 28 20 2 30 16 3 20 15 Questions: a) Determine the supply (tons of steel) at plants 1,2,3. b) Formulate a balanced transportation problem to minimize the cost of meeting Steel Company's weekly requirements. (5 points) C) Solve the problem (20 points)