11 Paperco recycles newsprint, uncoated paper, and coated paper into recycled newsprint, recycled uncoated paper, and recycled coated paper. Recycled newsprint can be produced by processing newsprint or uncoated paper.

Recycled coated paper can be produced by recycling any type of paper. Recycled uncoated paper can be produced by processing uncoated paper or coated paper. The process used to produce recycled newsprint removes 20% of the input’s pulp, leaving 80% of the input’s pulp for recycled paper. The process used to produce recycled coated paper removes 10% of the input’s pulp. The process used to produce recycled uncoated paper removes 15% of the input’s pulp. The purchasing costs, processing costs, and availability of each type of paper are shown in Table 14. To meet demand

Paperco must produce at least 250 tons of recycled newsprint pulp, at least 300 tons of recycled uncoated paper pulp, and at least 150 tons of recycled coated paper pulp. Formulate a balanced transportation problem that can be used to minimize the cost of meeting Paperco’s demands.

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TABLE 14 Purchase Cost per Ton of Pulp ($) Processing Cost per Ton of Input ($) Availability Newsprint Coated paper Uncoated paper 10 500 9 300 8 200 NP used for RNP 3 NP used for RCP 4 UCP used for RNP 4 UCP used for RUP UCP used for RCP 1 6 CP used for RUP CP used for RCP 5 3