Katherine Mofokeng is the owner of a recycling company that specialises in collecting and recycling paper products. Katherine's company uses two different recycling processes to convert newspaper, mixed paper, white office paper and cardboard into paper pulp. The amount of paper pulp extracted from the recyclable materials and the cost of extracting the pulp differs depending on which recycling process is used. The following table summarises the recycling process: For example, every ton of newspaper subjected to recycling process 1 costs $13 and yields 0.9 tons of paper pulp. The paper pulp goes through other operations to be transformed into pulp for newsprint, packaging paper or print stock quality paper. The yields associated with transforming the recycled pulp into pulp for the final products is given in the following table: Recycling Process 1 Recycling Process 2 Material Cost Per Ton ($) Yield (%) Cost Per Ton ($) Yield News Paper 13 90 12 85 Mixed Paper 11 80 13 85 White Office Paper 9 95 10 90 Cardboard 13 75 14 85 Newsprint Pulp Packaging Paper Pulp Print Stock Pulp Pulp Source Cost Per Ton ($) Yield Cost Per Ton Yield Cost Per Yield (%) ($) (%) Ton ($) Recycling Process 1 5 95 6 90 8 90 Recycling Process 1 6 90 8 95 7 95 For example, a ton of pulp exiting recycling process 2 can be transformed into 0.95 tons of packaging paper pulp at a cost of $8. Katherine currently has 70 tons of newspaper. 50 tons of mixed paper. 30 tons of white office paper and 40 tons of cardboard. She would like to determine the most efficient way of converting these materials into 60 tons of newsprint pulp, 40 tons of packaging paper pulp and 50 tons of print stock pulp. b. Formulate the problem as a linear programming problem. (See hint) (10 Marks) Hint: Use the table of constraint coefficients for linear programming: ain a11 012 azn 021 022 A amn am1 am2