2. 20% A ready mix company has 2 batching plants (A and B) which are supplied from 2 quarries (P and Q). Daily quarry capacities and plant requirements together with distances between quarries and plants are shown below. Quarry P Quarry Q Requirements Total 160 tons 90 tons 70 tons Plant A Plant B Capacity Total 210 tons 5 miles 3 miles 150 tons 2 miles 4 miles 60 tons The cost of transporting 1 ton of stone per 1 mile is 6. Assuming that the amount of stone supplied from P to A is x and the amount of stone supplied from P to B is y a) Write inequalities for x and y 4% b) Plot these inequalities and identify the range of feasible deliveries 3% c) Write an expression for the cost of supplying the 160 tons of stone 3% d) Determine the values of x and y for 5% i. the most expensive method of delivery and state the most expensive cost ii. the cheapest method of delivery and state the cheapest cost e) Assuming that Quarry Q has only 40 tons of suitable materials and plant B requires 50 tons 5% i. Plot these inequalities and identify the range of feasible deliveries b) Determine the values of x and y for the cheapest method of delivery and state the cheapest cost 2. 20% A ready mix company has 2 batching plants (A and B) which are supplied from 2 quarries (P and Q). Daily quarry capacities and plant requirements together with distances between quarries and plants are shown below. Quarry P Quarry Q Requirements Total 160 tons 90 tons 70 tons Plant A Plant B Capacity Total 210 tons 5 miles 3 miles 150 tons 2 miles 4 miles 60 tons The cost of transporting 1 ton of stone per 1 mile is 6. Assuming that the amount of stone supplied from P to A is x and the amount of stone supplied from P to B is y a) Write inequalities for x and y 4% b) Plot these inequalities and identify the range of feasible deliveries 3% c) Write an expression for the cost of supplying the 160 tons of stone 3% d) Determine the values of x and y for 5% i. the most expensive method of delivery and state the most expensive cost ii. the cheapest method of delivery and state the cheapest cost e) Assuming that Quarry Q has only 40 tons of suitable materials and plant B requires 50 tons 5% i. Plot these inequalities and identify the range of feasible deliveries b) Determine the values of x and y for the cheapest method of delivery and state the cheapest cost