To determine the total cost for the services, we need to break down each professional's fee based on the given rates and hours worked. We'll sum the individual costs to find the total.
1. Computer Programmer:
- Rate: $50 per hour
- Hours worked: 8
- Cost: \( 50 \text{ dollars/hour} \times 8 \text{ hours} = 400 \text{ dollars} \)
2. Attorney:
- Rate: $200 per hour
- Hours worked: 10
- Cost: \( 200 \text{ dollars/hour} \times 10 \text{ hours} = 2000 \text{ dollars} \)
3. Architect:
- Flat fee: $10,000
- Cost: \( 10,000 \text{ dollars} \)
4. Banker:
- Percentage of capital raised: 2%
- Capital raised: $1,000,000
- Cost: \( 2\% \times 1,000,000 \text{ dollars} = 0.02 \times 1,000,000 \text{ dollars} = 20,000 \text{ dollars} \)
Finally, we sum all these costs to find the total:
[tex]\[
\text{Total cost} = \text{Programmer cost} + \text{Attorney cost} + \text{Architect flat fee} + \text{Banker cost}
\][/tex]
[tex]\[
\text{Total cost} = 400 \text{ dollars} + 2000 \text{ dollars} + 10,000 \text{ dollars} + 20,000 \text{ dollars}
\][/tex]
[tex]\[
\text{Total cost} = 32,400 \text{ dollars}
\][/tex]
Therefore, the total cost for these services is [tex]$\$[/tex] 32,400$.
