1. The National Paper company contracts with their suppliers on a quarterly basis to buy pulp for their paper mills in Maine, Georgia, and Louisiana. The pulp comes from four suppliers in four regions: Western Canada, Brazil, Scandinavia, and the Pacific Northwest. The cost of purchasing the pulp (in US dollars per ton), the amount of pulp available, and the forecasted quarterly demand (in tons) for the next quarter are given in the tables below.

Suppose the Scandinavian supplier alerts National Paper that they can no longer ship their pulp using standard storage containers due to a container shortage. As a result, the Scandinavian supplier has contracted cargo ships that can carry 30000 tons of pulp per cargo ship. They will only sell National Paper pulp in increments of a full cargo ship (i.e., in increments of 30000 tons), applying the same shipping costs (per ton) as given in the previous table.

1c. Revise your LP formulation to account for this new shipping requirement. Write out your formulation in its entirety.

Supplier Cost/ton Availability (tons/quarter) Canada $1100 850000 Brazil $950 950000 Scandinavia $1000 1250000 USA $1200 500000 Mill Demand (tons/quarter) Maine 900000 Georgia 1080000 Louisiana 960000 ontainers is given in the table below. Shipping costs (US Dollars per ton) From \TO Maine Georgia Louisiana Canada $120 $150 $180 Brazil $150 $130 $120 Scandinavia $150 $180 $200 Pacific Northwest $120 $150 $160 Supplier Cost/ton Availability (tons/quarter) Canada $1100 850000 Brazil $950 950000 Scandinavia $1000 1250000 USA $1200 500000 Mill Demand (tons/quarter) Maine 900000 Georgia 1080000 Louisiana 960000 ontainers is given in the table below. Shipping costs (US Dollars per ton) From \TO Maine Georgia Louisiana Canada $120 $150 $180 Brazil $150 $130 $120 Scandinavia $150 $180 $200 Pacific Northwest $120 $150 $160