Drehex Corporation needs to hire an engineer to develop a prototype for a project. The company asks each engineer to provide a cost and time estimate for the work. Each bid is shown in the table.

\begin{tabular}{|c|c|c|}
\cline { 2 - 3 }
\multicolumn{1}{c|}{} & \begin{tabular}{c}
Cost per \\
Hour
\end{tabular} & \begin{tabular}{c}
Time to \\
Complete Job
\end{tabular} \\
\hline
Camilla & [tex]$\$[/tex] 40[tex]$ & 20 hours \\
\hline
John & $[/tex]\[tex]$ 30$[/tex] & 30 hours \\
\hline
Nora & [tex]$\$[/tex] 20[tex]$ & 40 hours \\
\hline
Oracio & $[/tex]\[tex]$ 15$[/tex] & 50 hours \\
\hline
\end{tabular}

Which engineer would be the most cost-effective for the project?

A. Camilla
B. John
C. Nora
D. Oracio



Answer :

To determine which engineer would be the most cost-effective for the project, we need to calculate the total cost for each engineer based on their cost per hour and the time required to complete the job.

1. Calculate the total cost for Camilla:
- Cost per hour: \[tex]$40 - Time to complete job: 20 hours - Total cost = Cost per hour × Time to complete job \[ \text{Total cost for Camilla} = 40 \times 20 = \$[/tex]800
\]

2. Calculate the total cost for John:
- Cost per hour: \[tex]$30 - Time to complete job: 30 hours \[ \text{Total cost for John} = 30 \times 30 = \$[/tex]900
\]

3. Calculate the total cost for Nora:
- Cost per hour: \[tex]$20 - Time to complete job: 40 hours \[ \text{Total cost for Nora} = 20 \times 40 = \$[/tex]800
\]

4. Calculate the total cost for Oracio:
- Cost per hour: \[tex]$15 - Time to complete job: 50 hours \[ \text{Total cost for Oracio} = 15 \times 50 = \$[/tex]750
\]

Now we compare the total costs:

- Camilla: \[tex]$800 - John: \$[/tex]900
- Nora: \[tex]$800 - Oracio: \$[/tex]750

From these calculations, we see the engineer with the lowest total cost is Oracio, with a total cost of \$750. Thus, Oracio would be the most cost-effective engineer for the project.