chandelier 2 hours require a two-step production process involving wiring and assembly it 12 hours and fan require a chandelier and 3 hours to wire a fan. Final assembly of the the firm of wiring and 30 hours 5 hours respectively. The production capability is such that only the given and each G: Reach a prities: ( $ 6 ). The firm's management available. Each chandelier produced nets ( G_{2} ) : Fully u profit of at least ( $ 30 ) ( G_{3:} ) Avoid use wiring department ( $ 30 ) a) formuly department overs available. a) Formulate the overtime. formulate the problem as a goal programming problem. b) Suppose that unused labor in the wiring department incurs a penalty of ( $ 2 ) while overtime in assembly department costs an additional ( $ 3 ), what would be the objective function using the weights method? c) Assuming ( G_{1}>G_{2}>G_{3} ) determine the optimum solution using the pre-emptive method.

12 hours and fan require a chandelier and 3 hours process involving wiring and assembly the firm 57 and wing and 30 hours 5 hours respectively. The production capability is such that only the given and each G2 : Reach a profit 56 . The firm's management wailable. Each chandelier is such that onty G. Fully use wiring of least $30 a) Formut department overtime. a) Formulate the problem as a goal programming problem. b) Suppose that unused labor in the wiring department incurs a penalty of $2 while overtime in assembly department costs an additional $3, what would be the objective function using the weights method? c) Assuming G1>G2>G3 determine the optimum solution using the pre-emptive method