Cooper Glass produces four different lamp models. Total monthly demand exceeds the available capacity. The COO wants to determine the product mix that will maximize profits. The plant operates one $8-$hour shift per day $(20$ days per month$).$ Each station requires a ten percent capacity cushion.

$1.$ Which station is the bottleneck?

$2.$ Using the traditional method, what is the optimal product mix and what is the overall profitability?

$3.$ Using the BN$-$based method, what is the optimal product mix and what is the overall profitability?