Question

Super Fun Industries manufactures four​ top-selling toys code named​ A-148, B-356,​ B-457, and​ C-843. The following table shows how long it takes to process each toy through each required station. Note that all times are in minutes. Super​ Fun's manufacturing plant is open 13 hours a​ day, 5 days a​ week, and 7 hours on Saturday.

​A-148
​B-356
​B-457
​C-843
Processing Time Station 1
7
min 7
min 0
min 9
min
Processing Time Station 2
4
min 4
min 3
min 2
min
Processing Time Station 3
5
min 6
min 2
min 4
min
Processing Time Station 4
3
min 0
min 10
min 1
min
Part 2
a. If only toy​ A-148 is produced during a specific​ week,
enter your response here
units could be produced. ​(Enter your response rounded down to the nearest whole​ number.)

Answer 1

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.

Answer 2

227 units of A-148 could be produced in a week.

How to solve

Total weekly processing time available:

Incorrectly used total hours per day (20) instead of operating hours per day (13).

Corrected total operating minutes per week: 13 hours/day * 60 minutes/hour * 5 days/week + 7 hours * 60 minutes/hour = 4320 minutes

Units produced per week:

Units produced = 4320 minutes / 19 minutes/unit = 227.37 units

Rounding down to the nearest whole number:

Units produced = 227.37 units ≈ 227 units (rounded down)

Therefore, 227 units of A-148 could be produced in a week.