$*$NEED HELP WITH PART C ONLY$*$

Cooper River Glass Works $($CRGW$)$ produces four different models of desk lamps as shown on the flowchart. The operations manager knows that total monthly demand exceeds the capacity

available for production. Thus, she is interested in determining the product mix which will maximize profits. Each model's price, routing, processing times, and material cost is provided in the flowchart. Demand next month is estimated to be $275$ units of model Alpha, $200$ units of model Bravo, $150$ units of model Charlie, and $250$ units of model Delta. CRGW operates only one $8$ hoursshift per day and is scheduled to work $20$ days next month $($no overtime$).$ Further, each station requires a $10\%$ capacity cushion.

a$.$ Which station is the bottleneck?

The bottleneck is STATION $3,$ with a total load of $9375$ minutes for the next month.

b$.$ Using the traditional method, which bases decisions solely on a product's contribution to profits and overhead, what is the optimal product mix and what is the overall profitability?

ALPHA : $275$

BRAVO: $200$

CHARLIE:$3$

DELTA: $250$

This product mix yields a profit of $$56561.($Enter your response as a whole number.$)$

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

The product mix obtained using the bottleneck method is as follows. $($Enter your responses as whole numbers. If your answer has decimal places, round your response down to the next

whole number.$)$

ALPHA UNITS TO BE PRODUCED:

bRAVO UNITS TO BE PRODUCED:

CHARLIE UNITS TO BE PRODUCED:

DELTA UNITS TO BE PRODUCED: