Question 2 A developing rural district is served by 5 rock quarries spread around the area. A major road and bridge project requires 130,000 tons of aggregate. A survey of the 5 quarries reveals their unsold capacity and delivered cost per ton as shown in the table. Assume that the qualities of the aggregate meet specifications from all 5 quarries. Table: Costs and Unsold Capacity of Quarry Aggregates Quarry $ per Ton Delivered $10.50 B $12.00 $12.50 Tons of Unsold Capacity 45,000 55,000 25,000 50,000 25,000 C D $14.00 E $14.25 a) How many tons of aggregate would be supplied by each quarry to minimize cost? (10 marks) b) If the project budgeted $1.7 million for aggregate, is the project going to be within budget for this item? Show your calculations to back up your answer. (10 marks) (c) If the rural disctrict was constrained to procure at least 50% of the stocks from the community owned Quarry E while minimizing costs, what quantities would be supplied by each quarry