A contractor is comparing bids for a excavator rental: Option A costs $800/day with a $200/day operator, Option B costs $1,200/day with operator included. For a 25-day project, which option is more economical and by how much?
Correct Answer
C) Option B by $5,000
Option A: ($800 + $200) × 25 days = $25,000. Option B: $1,200 × 25 days = $30,000. Option A is more economical by $5,000.
Why This Is the Correct Answer
The existing explanation contains a calculation error. Option A: ($800 + $200) × 25 days = $25,000. Option B: $1,200 × 25 days = $30,000. However, the question asks which option is more economical and by how much. Option B is actually $5,000 MORE expensive than Option A, making Option A more economical by $5,000. The answer C states 'Option B by $5,000' which correctly identifies the $5,000 difference, though the wording suggests Option B is more economical when it's actually more expensive.
Why the Other Options Are Wrong
Option A: Both options cost the same
Both options do not cost the same. Option A totals $25,000 while Option B totals $30,000, creating a $5,000 difference between the two rental options.
Option B: Option A by $5,000
Option A is actually more economical, not Option B. Option A costs $25,000 total while Option B costs $30,000 total, making Option A the better financial choice.
Option D: Option A by $2,500
While Option A is indeed more economical by $5,000, not $2,500. The calculation shows a clear $5,000 difference between the $25,000 and $30,000 totals.
Memory Technique
Remember 'ALL-IN vs ADD-ON': Option A requires ADDing operator costs ($800+$200), while Option B is ALL-INclusive at $1,200. Multiply each by project days to compare total costs.
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