The Harrison Electric Company, located in the old Chicago area, manufactures two products that are popular with home restorers: antique-style chandeliers and ceiling fans. So much chandeliers like fans require a two-step production process, which involves wiring and assembly. It takes 2 hours to wire each chandelier and 3 hours to wire a fan ceiling. Final assembly of the chandeliers and fans requires 6 and 5 hours, respectively. The production capacity is such that only 12 hours of wiring and 30 hours of Assemble. If each chandelier produced returns the company $ 7 and each fan $ 6, the decision of Harrison's production mix is formulated with a PL model. However, suppose that the firm is to move to another location during a certain period of production and considers that profit maximization is not the only goal to be achieved and extends to multiple equally important goals. Extension to multiple equally important goals

Goal 1. Generate a profit of $ 30 if possible during the production period. (P1)

Goal 2. Fully utilize the hours available in the wiring department. (P2) Goal 3.

Avoid overtime in the assembly department. (P3) Goal 4.

Satisfy the contractual requirement to manufacture at least 7 ceiling fans (P4)

a) Solve by weighted goals (20 points) b) Solve by lexicographic method (20 points) c) Compare the results (5 points)