To find out how much profit your company made on this job, we need to calculate the total expense first and then subtract those expenses from the amount charged to the customer.
### Step-by-Step Solution:
1. Calculate the Total Cost for Gravel:
- Unit cost for gravel is \[tex]$15 per cubic yard.
- Quantity of gravel used is 121 / 2 = 60.5 cubic yards.
Total Cost of Gravel:
\[
\text{Total Cost of Gravel} = \$[/tex]15 \times 60.5 = \[tex]$907.50
\]
2. Calculate the Total Cost for Tar/Sealant:
- Unit cost for tar/sealant is 15 cents per square foot or \$[/tex]0.15 per square foot.
- Area of the driveway is [tex]\(75 \, \text{ft} \times 20 \, \text{ft} = 1500 \, \text{square feet}\)[/tex].
Total Cost of Tar/Sealant:
[tex]\[
\text{Total Cost of Tar/Sealant} = \$0.15 \times 1500 = \$225.00
\][/tex]
3. Calculate the Total Cost for Labor:
- Unit cost for labor is \[tex]$10 per hour.
- Total labor hours are 25 hours.
Total Cost of Labor:
\[
\text{Total Cost of Labor} = \$[/tex]10 \times 25 = \[tex]$250.00
\]
4. Total Cost for Insurance:
- Insurance cost is a flat rate of \$[/tex]45.00.
5. Calculate the Total Expense:
- Sum up all individual expenses calculated above.
Total Expense:
[tex]\[
\text{Total Expense} = \$907.50 + \$225.00 + \$250.00 + \$45.00 = \$1427.50
\][/tex]
6. Calculate the Profit:
- Total amount charged to the customer is \[tex]$1000.
Profit:
\[
\text{Profit} = \text{Total Charged} - \text{Total Expense} = \$[/tex]1000 - \[tex]$1427.50 = -\$[/tex]427.50
\]
Thus, your company made a loss of \[tex]$427.50 on this job. There seems to be no correct option listed in the multiple-choice answers that matches the calculated loss of \$[/tex]427.50, which suggests there might be an error or oversight in the options provided. Therefore, none of the choices A to E are correct.
