aper can be made from new wood pulp, from recycled office paper, or from recycled newsprint. new pulp costs $100 per ton, recycled office paper costs $50 per ton, and recycled newsprint costs $20 per ton. one available process uses 3 tons of pulp to make 1 ton of paper; a second uses 1 ton of pulp and 4 tons of recycled office paper; a third uses 1 ton of pulp and 12 tons of recycled newsprint; a fourth uses 8 tons of recycled office paper. at the moment only 80 tons of pulp is available. we wish to produce 100 tons of new paper at minimum total cost. (hint: you should consider two sets of variables, one for the materials and one for the processes.) formulate an algebraic lp to minimize total cost.