Questions: Roger Company produces beach balls and operates three shifts. Roger produces 5,000 balls per shift on shifts 1 and 2. On shift 3, the company can produce 6 times as many balls as on shift 1. Assume a 5-day workweek. Total balls in shift 1: 5,000 Total balls in shift 2: 5,000 Total balls in shift 3: 30,000 Work-days per week: 5 Work weeks per year: 52 Required: Using the information above, answer the below questions 1. How many beach balls per day are produced? 2. How many beach balls per week are produced? 3. How many beach balls per year are produced?

Solution Steps

To solve the given problem, we need to calculate the total number of beach balls produced per day, per week, and per year based on the production rates provided for each shift and the work schedule.

1. Beach balls per day: Calculate the total production for each shift and sum them up to get the daily production.
2. Beach balls per week: Multiply the daily production by the number of workdays in a week.
3. Beach balls per year: Multiply the weekly production by the number of work weeks in a year.

The total number of beach balls produced per day is given by the sum of the production from each shift:

\[ \text{Total balls per day} = \text{balls per shift 1} + \text{balls per shift 2} + \text{balls per shift 3} \]

Substituting the values:

\[ \text{Total balls per day} = 5000 + 5000 + 30000 = 40000 \]

To find the total production per week, we multiply the daily production by the number of workdays in a week:

\[ \text{Total balls per week} = \text{Total balls per day} \times \text{work days per week} \]

Substituting the values:

\[ \text{Total balls per week} = 40000 \times 5 = 200000 \]

The total production per year is calculated by multiplying the weekly production by the number of work weeks in a year:

\[ \text{Total balls per year} = \text{Total balls per week} \times \text{work weeks per year} \]

Substituting the values:

\[ \text{Total balls per year} = 200000 \times 52 = 10400000 \]

Final Answer