a) using traditional method,
Workload of station X = 53*15+65*27 = 2550 minutes
Workload of station Y = 53*16+65*21 = 2213 minutes
Workload of station Z = 53*27+65*10 = 2081 minutes
Available capacity for each station = 40*60 = 2400 minutes
Workload of station X is more than capacity. Therefore, station X is the bottleneck.
Unit profit of product Deluxe = 72-13-11 = $ 48
Unit profit of product Super Deluxe = 68-7-6 = $ 55
Unit profit of product Super Deluxe is greater.
Therefore, it is prioritized. 65 units of Super Deluxe are produced as demanded.
Available capacity of bottleneck station X after production of Super Deluxe = 2400-65*27 = 645 minutes
Production of Deluxe = 645/15 = 43 units
Product mix:
Deluxe = 43 units/week
Super Deluxe = 65 units/week
Profit = total profit from both products - labor cost - overhead cost
= 43*48+65*55 - 3*40*18 - 3000
= $ 479
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