You organize an 8 -hour training for 4 hourly, local employees. The training is led by the manager who earns a salary of $$ \$ 48,000 $$, and by an assistant manager who earns $$ \$ 36,000 $$. Materials cost is $$ \$ 50 / $$ person and food is $$ \$ 20 / $$ person. If the hourly employees make $$ \$ 15 / $$ hour, what is the cost of this training event? $$ \$[?] $$

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UpStudy AI · Accepted Answer

To calculate the total cost of the training event, we need to consider the following components:

1. **Salaries of the Manager and Assistant Manager**:
   - Manager's salary: $$ \$48,000 $$
   - Assistant Manager's salary: $$ \$36,000 $$

2. **Hourly Employees' Wages**:
   - Number of hourly employees: 4
   - Hourly wage: $$ \$15 $$
   - Duration of training: 8 hours

3. **Cost of Materials**:
   - Cost per person for materials: $$ \$50 $$
   - Total number of participants (employees): 4

4. **Cost of Food**:
   - Cost per person for food: $$ \$20 $$
   - Total number of participants (employees): 4

Now, let's calculate each component step by step.

### Step 1: Calculate the Salaries
The salaries of the manager and assistant manager are fixed costs and do not depend on the duration of the training.

$$
\text{Total Salaries} = \text{Manager's Salary} + \text{Assistant Manager's Salary} = 48000 + 36000
$$

### Step 2: Calculate the Wages for Hourly Employees
The total wages for the hourly employees can be calculated as follows:

$$
\text{Total Wages} = \text{Number of Employees} \times \text{Hourly Wage} \times \text{Duration} = 4 \times 15 \times 8
$$

### Step 3: Calculate the Cost of Materials
The total cost for materials is:

$$
\text{Total Materials Cost} = \text{Cost per Person} \times \text{Number of Employees} = 50 \times 4
$$

### Step 4: Calculate the Cost of Food
The total cost for food is:

$$
\text{Total Food Cost} = \text{Cost per Person} \times \text{Number of Employees} = 20 \times 4
$$

### Step 5: Calculate the Total Cost
Finally, we sum all the costs to find the total cost of the training event:

$$
\text{Total Cost} = \text{Total Salaries} + \text{Total Wages} + \text{Total Materials Cost} + \text{Total Food Cost}
$$

Now, let's perform the calculations.

I'll calculate each component now.
Calculate the value by following steps:
- step0: Calculate:
  $$48000+36000$$
- step1: Add the numbers:
  $$84000$$
Calculate or simplify the expression $$ 4 * 15 * 8 $$.
Calculate the value by following steps:
- step0: Calculate:
  $$4\times 15\times 8$$
- step1: Multiply the terms:
  $$60\times 8$$
- step2: Multiply the numbers:
  $$480$$
Calculate or simplify the expression $$ 50 * 4 $$.
Calculate the value by following steps:
- step0: Calculate:
  $$50\times 4$$
- step1: Multiply the numbers:
  $$200$$
Calculate or simplify the expression $$ 20 * 4 $$.
Calculate the value by following steps:
- step0: Calculate:
  $$20\times 4$$
- step1: Multiply the numbers:
  $$80$$
Now that we have calculated each component, let's summarize the results:

1. **Total Salaries**: 
   $$
   48000 + 36000 = 84000
   $$

2. **Total Wages for Hourly Employees**: 
   $$
   4 \times 15 \times 8 = 480
   $$

3. **Total Materials Cost**: 
   $$
   50 \times 4 = 200
   $$

4. **Total Food Cost**: 
   $$
   20 \times 4 = 80
   $$

### Step 5: Calculate the Total Cost
Now, we can sum all these costs to find the total cost of the training event:

$$
\text{Total Cost} = 84000 + 480 + 200 + 80
$$

Let's calculate this final total.
Calculate the value by following steps:
- step0: Calculate:
  $$84000+480+200+80$$
- step1: Add the numbers:
  $$84760$$
The total cost of the training event is:

$$
\text{Total Cost} = 84760
$$

Thus, the cost of this training event is $$ \$84760 $$.
The total cost of the training event is \$84,760.

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