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Harrison Electric produces $2$ products popular with home renovators, old$-$fashioned chandelier and ceiling fan. Both the chandeliers and the fans require $2$ step process involving wiring and assembly. It takes about $2$ hours to wire each chandelier and $3$ hours to wire a ceiling fan. Final assembly of the chandeliers and fans requires $6$ and $5$ hours respectively. The production capacity is such that only $12$ hours of wiring time and $30$ hours of assembly time are available. Each chandelier produced nets the firm $$7$ and each fan $$6.$