To determine the most cost-effective choice for the electronics company's project, we need to calculate the total cost for each programmer based on their hourly fees and the time they expect to take.
First, we calculate the total cost for each programmer:
1. Yogin:
- Fee per Hour: \[tex]$40
- Total Time: 12 hours
\[
\text{Total Cost for Yogin} = 40 \, \text{dollars/hour} \times 12 \, \text{hours} = 480 \, \text{dollars}
\]
2. Amaya:
- Fee per Hour: \$[/tex]35
- Total Time: 10 hours
[tex]\[
\text{Total Cost for Amaya} = 35 \, \text{dollars/hour} \times 10 \, \text{hours} = 350 \, \text{dollars}
\][/tex]
3. Candice:
- Fee per Hour: \[tex]$32
- Total Time: 15 hours
\[
\text{Total Cost for Candice} = 32 \, \text{dollars/hour} \times 15 \, \text{hours} = 480 \, \text{dollars}
\]
4. Sheldon:
- Fee per Hour: \$[/tex]45
- Total Time: 8 hours
[tex]\[
\text{Total Cost for Sheldon} = 45 \, \text{dollars/hour} \times 8 \, \text{hours} = 360 \, \text{dollars}
\][/tex]
Now we have the total costs for each candidate:
- Yogin: 480 dollars
- Amaya: 350 dollars
- Candice: 480 dollars
- Sheldon: 360 dollars
To find the most cost-effective programmer, we compare the total costs. The lowest cost indicates the most cost-effective choice.
Comparing the costs:
- Yogin: 480 dollars
- Amaya: 350 dollars
- Candice: 480 dollars
- Sheldon: 360 dollars
The lowest total cost is 350 dollars, which corresponds to Amaya.
Therefore, the most cost-effective programmer for the electronics company's project is Amaya.
