A manufacturer of lawn furniture A "green" supply company manufactures two types of plastic bags: one type for snacks and the other type for milk. The company can purchase up to 20,000 pounds of used plastics and 30,000 pounds of industrial plastics per week at a cost of $0.40 per pound and $0.10 per pound, respectively. The company markets the plastic snack bags as being composed of 75% used plastics, and the milk bags as being composed of one-third used plastics. One box of plastic snack bags sells for $12, requires 8 pounds of plastic to make, and costs $5 to manufacture. One box of plastic milk bags sells for $20, requires 12 pounds of plastic to make, and costs $9 to manufacture. The manufacturing of the snack bags (with such a high concentration of used plastics) also requires the use of a special machine, which has a capacity of 3000 boxes per week. Assuming the company sells as much as it makes, how many boxes of each type of plastic bag should they make each week to maximize profit? Make sure to clearly outline your modelling approach (variables, assumptions, goal); sketch and label the feasible region; and answer the