The HEC Company located produces two products popular with home renovators: old fashioned chandeliers and ceiling fans. Both the chandeliers and fans require a two - step production process involving wiring and assembly. It takes about 2 hours to wire each chandeliers and 3 hours to wire a ceiling fan. Final assembly of the chandeliers and fans require 6 and 5 hours, respectively. The production capability is such that only 12 hours of wiring time and 30 hours of assembly time are available. If each chandelier would generate a unit profit of $7 and each fan $6 Formulate an IP model for this problem and use graphical and simplex LP approach to solve this model.