A landscaping company uses two different types of chemicals for their clients' yards: dry and liquid. Both products are produced using three ingredients of A, B, and C, which are purchased from a supplier in quantities more than 10, 12, and 12 gallons respectively. To produce the liquid product, the landscaping uses 5, 2, and 1 gallons of A, B, and C respectively. Whereas the dry product contains 1, 2, and 4 gallons of A, B, and C respectively. The liquid product is sold for $3 per jar and the dry product is sold for $2 per box. The company plans to stay ahead of its competitors by minimizing its cost. Answer the following questions: (A) How many of each products must be produced to achieve this purpose? Calculate the cost and show (with your calculations) that this is the optimum value. (40 marks) (B) Identify slack and/or surplus, if applicable? Explain the meaning of that in the context of this problem. (20 marks) (C) Identify binding, non-binding, and redundant constraints in this problem. Explain the meaning of each.