Q. Queen City Nursery manufactures bags of potting soil from compost and topsoil. Each cubic foot of compost costs 12 cents and contains 4 pounds of sand, 3 pounds of clay and 5 pounds of humus. Each cubic foot of topsoil costs 20 cents and contains 3 pounds of sand, 6 pounds of clay and 12 pounds of humus. Each bag of potting soil must contain at least 12 pounds of sand, 12 pounds of clay and 10 pounds of humus. Explain how this problem meets conditions of a linear programming problem. Plot constraints and classify feasible region. Graphically or with corner points Find out best combination of compost and topsoil that meets stated conditions at lowest cost per bag. Classify lowest cost possible.