Answer :
When Drehex Corporation considers who to hire to complete the project, they need to weigh the trade-offs between cost and time. Here’s a detailed analysis of each worker and the associated trade-offs:
1. Camilla:
- Cost per hour: \[tex]$40 - Time to complete job: 20 hours - Total cost: \$[/tex]800
Analysis:
- Pros: Camilla completes the job the fastest at just 20 hours.
- Cons: However, she is one of the most expensive options, with a total cost of \[tex]$800. Trade-offs: - Choosing Camilla means the project will be completed in the shortest time, which might be crucial if time is a more significant factor than cost. - The trade-off is the higher expense, so if budget constraints are tight, this might not be the most feasible choice. 2. John: - Cost per hour: \$[/tex]30
- Time to complete job: 30 hours
- Total cost: \[tex]$900 Analysis: - Pros: His hourly rate is lower than Camilla's. - Cons: He takes longer to complete the job (30 hours) and, surprisingly, ends up being the most expensive option overall, with a total cost of \$[/tex]900.
Trade-offs:
- John represents a mix of higher costs and longer time compared to others, making him a less attractive option in both criteria.
- The primary trade-off with John is that while you save on hourly rate compared to Camilla, you end up paying more overall and take longer to complete the project.
3. Nora:
- Cost per hour: \[tex]$20 - Time to complete job: 40 hours - Total cost: \$[/tex]800
Analysis:
- Pros: Nora offers a lower hourly rate.
- Cons: However, she takes twice as long as Camilla to complete the job (40 hours).
Trade-offs:
- The total cost is the same as Camilla (\[tex]$800), but the project takes significantly longer to complete. - If time is less critical, choosing Nora might be a viable option as it allows managing cash flow more effectively over a longer period. - The trade-off is mainly in the time taken to complete the project, which could delay subsequent activities dependent on this project's completion. 4. Oracio: - Cost per hour: \$[/tex]15
- Time to complete job: 50 hours
- Total cost: \[tex]$750 Analysis: - Pros: Oracio has the lowest total cost (\$[/tex]750), which offers the greatest savings.
- Cons: He takes the longest time (50 hours) to complete the job.
Trade-offs:
- The primary benefit of choosing Oracio is the reduced cost.
- The significant trade-off is the time required, which is the longest among all options.
- If the budget is the most critical factor and time is less of an issue, Oracio would be the ideal choice.
- However, if the project is time-sensitive, the trade-off of additional time might not be acceptable.
Conclusion:
Drehex Corporation needs to assess what is more critical for their project: cost or time. If the project must be completed as quickly as possible, Camilla is the best option despite her higher cost. If the budget is the main constraint, Oracio offers the least expensive solution but requires accepting the longest completion time. John, with the highest overall cost, and Nora, with a middle-ground approach, both present less optimal trade-offs since they do not provide a significant advantage in either cost or time.
1. Camilla:
- Cost per hour: \[tex]$40 - Time to complete job: 20 hours - Total cost: \$[/tex]800
Analysis:
- Pros: Camilla completes the job the fastest at just 20 hours.
- Cons: However, she is one of the most expensive options, with a total cost of \[tex]$800. Trade-offs: - Choosing Camilla means the project will be completed in the shortest time, which might be crucial if time is a more significant factor than cost. - The trade-off is the higher expense, so if budget constraints are tight, this might not be the most feasible choice. 2. John: - Cost per hour: \$[/tex]30
- Time to complete job: 30 hours
- Total cost: \[tex]$900 Analysis: - Pros: His hourly rate is lower than Camilla's. - Cons: He takes longer to complete the job (30 hours) and, surprisingly, ends up being the most expensive option overall, with a total cost of \$[/tex]900.
Trade-offs:
- John represents a mix of higher costs and longer time compared to others, making him a less attractive option in both criteria.
- The primary trade-off with John is that while you save on hourly rate compared to Camilla, you end up paying more overall and take longer to complete the project.
3. Nora:
- Cost per hour: \[tex]$20 - Time to complete job: 40 hours - Total cost: \$[/tex]800
Analysis:
- Pros: Nora offers a lower hourly rate.
- Cons: However, she takes twice as long as Camilla to complete the job (40 hours).
Trade-offs:
- The total cost is the same as Camilla (\[tex]$800), but the project takes significantly longer to complete. - If time is less critical, choosing Nora might be a viable option as it allows managing cash flow more effectively over a longer period. - The trade-off is mainly in the time taken to complete the project, which could delay subsequent activities dependent on this project's completion. 4. Oracio: - Cost per hour: \$[/tex]15
- Time to complete job: 50 hours
- Total cost: \[tex]$750 Analysis: - Pros: Oracio has the lowest total cost (\$[/tex]750), which offers the greatest savings.
- Cons: He takes the longest time (50 hours) to complete the job.
Trade-offs:
- The primary benefit of choosing Oracio is the reduced cost.
- The significant trade-off is the time required, which is the longest among all options.
- If the budget is the most critical factor and time is less of an issue, Oracio would be the ideal choice.
- However, if the project is time-sensitive, the trade-off of additional time might not be acceptable.
Conclusion:
Drehex Corporation needs to assess what is more critical for their project: cost or time. If the project must be completed as quickly as possible, Camilla is the best option despite her higher cost. If the budget is the main constraint, Oracio offers the least expensive solution but requires accepting the longest completion time. John, with the highest overall cost, and Nora, with a middle-ground approach, both present less optimal trade-offs since they do not provide a significant advantage in either cost or time.
