A coal company supplies coal to 4 power plants from 4 mines. The table below shows to dollars/ton cost to deliver from mines to plants Plant 1 Plant 2 Plant 3 Plant 4 Mine 1 9 15 8 10 Mine 2 7 15 14 12 Mine 3 5 5 11 12 Mine 4 3 6 8 11 Demands for coal are the amount REQUIRED at each plant Plant 1 Plant 2 Plant 3 Plant 4 110 115 135 130 Capacities are the maximum shippable from a given mine. Cost is the cost of getting one ton of coal from the mine Mine 1 Mine 2 Mine 3 Mine 4 Capacity 125 100 150 120 Cost 50 57 55 61 (5pt) Build a network oprimization program that calculates the minimum cost method of supplying the plants with the required coal (2pt) What is the minimum cost scheme of supply and the minimum cost? (2pt)How much would shipping and production costs increase or decrease with another 5 tons of production from mine 3? (1pt) If the cost of producing at mine 1 goes down by $5/ton, what effect does that have on the minimum cost