Parts (c). Provide: LP model (including definition of variables), optimal solution, optimal objective value, and screenshots of Matlab codes and outputs. Note: Treat months as quarters for this question. For example, sailboats can be held in inventory for a maximum of two quarters for part (c)

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. 12 Explain how each of the following would modify the formulation of the Sailco problem as a balanced transportation problem: a Suppose demand could be backlogged at a cost of \$30/sailboat/month. (Hint: Now it is permissible to ship from, say, month 2 production to month 1 demand.) b If demand for a sailboat is not met on time, the sale is lost and an opportunity cost of $450 is incurred. c Sailboats can be held in inventory for a maximum of two months. d At a cost of $440/ sailboat, Sailco can purchase up to 10 sailboats/month from a subcontractor