Final answer:
By calculating the processing time per unit of toy A-148 and dividing the total weekly production minutes by this processing time, we find that 227 units of toy A-148 can be produced in a specific week, when rounded down to the nearest whole number.
Step-by-step explanation:
To calculate how many units of toy A-148 can be produced in a specific week, we first need to determine the total processing time for one unit of toy A-148. We then divide the total available production time in a week by the processing time for one unit.
The total processing time for one unit of toy A-148 is:
- Station 1: 7 minutes
- Station 2: 4 minutes
- Station 3: 5 minutes
- Station 4: 3 minutes
Adding these times together gives:
- 7 minutes + 4 minutes + 5 minutes + 3 minutes = 19 minutes per unit
The plant is open for:
- 13 hours/day * 5 days/week = 65 hours/week
- 7 hours on Saturday
Adding these hours together gives:
- 65 hours + 7 hours = 72 hours/week
Converting hours to minutes:
- 72 hours * 60 minutes/hour = 4320 minutes/week
Now, we divide the total available minutes per week by the processing time per unit to find the amount of A-148 that could be produced:
4320 minutes/week ÷ 19 minutes/unit = 227.368 units/week
Rounded down to the nearest whole number:
227 units of toy A-148 can be produced in a week.