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 hours shift per day and is scheduled to work 20 days next month (no overtime). Further, each station requires a 10% capacity cushion. $10 Step 2 Alpha Step 1 Station 1 (10 min) Raw materials Station (5 min) Step 3 Station 3 (15 min) Step 4 Station 4 (10 min) Product: Alpha Price: $90/unit Demand: 275 units/month Bravo $10 Step 1 Station (20 min) Step 2 Station 3 (10 min) Product: Bravo Price: $75/unit Demand: 200 units/month Raw materials Charlie $8 Step 1 Station 1 (5 min) Raw materials Step 2 Station 2 (15 min) Step 3 Station 3 (5 min) Step 4 Station 4 (20 min) Product: Charlie Price: $70/unit Demand: 150 units/month Delta $5 Step 1 Station 1 (20 min) Raw materials Step 2 Station 2 (5 min) Step 3 Station 3 (10 min) Step 4 Station 4 (10 min) Product: Delta Price: $80/unit Demand: 250 units/month a. Which station is the bottleneck? The bottleneck is Station 3, with a total load of 9,375 minutes for the next month. (Enter your response as a whole number.) 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? The product mix obtained using the traditional 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.) Product Units to be produced Alpha Bravo Charlie Delta