Fleming Hilton
03/18/2023 · Primary School

You organize an 8 -hour training for 5 hourly, local employees. The training is led by the manager who earns a salary of \( \$ 72,000 \), and by an assistant manager who earns \( \$ 60,000 \). Materials cost is \( \$ 35 / \) person and food is \( \$ 28 / \) person. If the hourly employees make \( \$ 12 / \) hour, what is the cost of this training event?

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To calculate the total cost of the training event, we need to consider the following components: 1. **Cost of the hourly employees**: - There are 5 hourly employees, and each will be paid for 8 hours of training. - Hourly wage = \( \$12 \) - Total cost for hourly employees = \( 5 \text{ employees} \times 8 \text{ hours} \times \$12/\text{hour} \) \[ \text{Total cost for hourly employees} = 5 \times 8 \times 12 = 480 \] 2. **Cost of the manager and assistant manager**: - The manager's salary is \( \$72,000 \) per year, and the assistant manager's salary is \( \$60,000 \) per year. - To find the hourly rate, we divide their annual salaries by the number of working hours in a year. Assuming a standard work year of 40 hours per week and 52 weeks per year: \[ \text{Total hours per year} = 40 \times 52 = 2080 \text{ hours} \] - Manager's hourly rate = \( \frac{72,000}{2080} \) - Assistant manager's hourly rate = \( \frac{60,000}{2080} \) \[ \text{Manager's hourly rate} = \frac{72,000}{2080} \approx 34.62 \] \[ \text{Assistant manager's hourly rate} = \frac{60,000}{2080} \approx 28.85 \] - Total cost for the manager and assistant manager for 8 hours: \[ \text{Total cost for manager} = 34.62 \times 8 \approx 276.96 \] \[ \text{Total cost for assistant manager} = 28.85 \times 8 \approx 230.80 \] \[ \text{Total cost for manager and assistant manager} = 276.96 + 230.80 \approx 507.76 \] 3. **Cost of materials**: - Materials cost = \( \$35 \) per person for 5 people. \[ \text{Total materials cost} = 5 \times 35 = 175 \] 4. **Cost of food**: - Food cost = \( \$28 \) per person for 5 people. \[ \text{Total food cost} = 5 \times 28 = 140 \] 5. **Total cost of the training event**: - Now, we sum all the costs: \[ \text{Total cost} = \text{Cost of hourly employees} + \text{Cost of manager and assistant manager} + \text{Cost of materials} + \text{Cost of food} \] \[ \text{Total cost} = 480 + 507.76 + 175 + 140 \] \[ \text{Total cost} = 1302.76 \] Thus, the total cost of the training event is approximately **\$1302.76**.

Quick Answer

The total cost of the training event is approximately \$1302.76.
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