Question

Company A has 5 full-time stalf. Each staff person can make 5 t-shirts per hour. The company needs to make 35,000 t-shirts in the first 12 weeks of the year. Assume a 40-hour work week, 60 Days per season, and a 2080-hour work year. How many Temporary Staff does Company A need to hire? 3.82 1458 854 9.58

Answer 1

The company needs to hire 3640 temporary staff.

Step-by-step explanation:

To find out how many temporary staff Company A needs to hire, we first need to calculate the total number of t-shirts the full-time staff can produce in the given time period.

Given:

• 5 full-time staff
• Each staff person can make 5 t-shirts per hour
• The company needs to make 35,000 t-shirts in the first 12 weeks of the year
• Assume a 40-hour work week
• 60 days per season
• A 2080-hour work year

Step 1: Calculate the total number of hours available for production in the first 12 weeks:

12 weeks x 7 days/week x 40 hours/day = 3360 hours

Step 2: Calculate the total number of t-shirts the full-time staff can produce:

5 t-shirts/hour x 3360 hours = 16,800 t-shirts

Step 3: Calculate the number of t-shirts the temporary staff needs to produce:

35,000 t-shirts - 16,800 t-shirts = 18,200 t-shirts

Step 4: Calculate the number of temporary staff needed:

Since each full-time staff can make 5 t-shirts per hour, we divide the number of t-shirts needed by the number of t-shirts produced per hour:

18,200 t-shirts / 5 t-shirts per hour = 3640 hours

Therefore, Company A needs to hire 3640 temporary staff to meet their production target.

Answer 2

The correct answer is D. 9.58.

To explain why this is the best choice, let's go through the calculation:

1. Calculate the total number of hours available with current full-time staff:

Each full-time staff member works 40 hours a week. Over 12 weeks, this amounts to:

`\( 5 \text{ staff} * 40 \text{ hours/week} * 12 \text{ weeks} = 2,400 \text{ hours} \)`

2. Calculate the total production capacity with current full-time staff:

Each staff member can produce 5 t-shirts per hour, so the total production is:

`\( 2,400 \text{ hours} * 5 \text{ t-shirts/hour} = 12,000 \text{ t-shirts} \)`

3. Determine the number of t-shirts remaining to be produced:

`\( 35,000 \text{ required t-shirts} - 12,000 \text{ t-shirts} = 23,000 \text{ t-shirts} \)`

4. Calculate the total number of hours required to produce the remaining t-shirts:

`\( 23,000 \text{ t-shirts} ÷ 5 \text{ t-shirts/hour} = 4,600 \text{ hours} \)`

5. Calculate the number of additional full-time staff equivalents needed:

`\( 4,600 \text{ hours} ÷ (40 \text{ hours/week} * 12 \text{ weeks}) \approx 9.58 \)`

Since 9.58 represents the number of full-time equivalent staff needed to produce the remaining t-shirts, and you can't hire a fraction of a staff member, the company would need to round up when hiring actual people. However, for the purpose of this multiple-choice question, the closest option is D. 9.58, which is the calculated number of full-time staff equivalents needed.