Final answer:
For men's shirts, the bottleneck process is sewing, limiting production to 26 shirts.
For women's shirts, the bottleneck is cutting, with a limit of 25 shirts.
Thus, the maximum production capacity is 51 shirts per day.
Step-by-step explanation:
To determine the maximum number of items Shirts Happen can produce, we must first calculate the maximum number of men's and women's shirts that can be handled by each process (cutting, sewing, and packaging) per day, given the labor hours available.
Calculations for Men's Shirts:
- Cutting: 25 hours/day * (60 minutes/hour) / 30 minutes = 50 shirts
- Sewing: 35 hours/day * (60 minutes/hour) / 80 minutes = 26.25 shirts (since we can't have a fraction of a shirt, this rounds down to 26 shirts)
- Packaging: 5 hours/day * (60 minutes/hour) / 12 minutes = 25 shirts
Calculations for Women's Shirts:
- Cutting: 25 hours/day * (60 minutes/hour) / 60 minutes = 25 shirts
- Sewing: 35 hours/day * (60 minutes/hour) / 60 minutes = 35 shirts
- Packaging: 5 hours/day * (60 minutes/hour) / 4 minutes = 75 shirts
In this case, the bottleneck for the men's shirts is the sewing step with a maximum of 26 shirts, and for the women's shirts, it is the cutting step with a maximum of 25 shirts.
Therefore, the maximum number of items that can be produced is 26 men's shirts plus 25 women's shirts, giving a total of 51 shirts per day.