To calculate the total cost to rent the furniture for 3 months, we follow these steps:
1. Calculate the total value for each type of furniture:
- Sofa: There is 1 sofa with a value of \[tex]$1400.
\[
\text{Total sofa value} = 1 \times 1400 = \$[/tex]1400
\]
- Office chairs: There are 6 office chairs, each valued at \[tex]$180.
\[
\text{Total office chair value} = 6 \times 180 = \$[/tex]1080
\]
- Conference table: There is 1 conference table with a value of \[tex]$2000.
\[
\text{Total conference table value} = 1 \times 2000 = \$[/tex]2000
\]
2. Calculate the total value of all the furniture:
[tex]\[
\text{Total furniture value} = 1400 + 1080 + 2000 = \$4480
\][/tex]
3. Calculate the monthly rental cost:
The rental cost per month is [tex]\(10\%\)[/tex] of the total furniture value.
[tex]\[
\text{Monthly rental cost} = 0.10 \times 4480 = \$448.00
\][/tex]
4. Calculate the rental cost for 3 months (without tax):
[tex]\[
\text{Rental cost for 3 months} = 3 \times 448.00 = \$1344.00
\][/tex]
5. Calculate the sales tax on the rental cost:
The sales tax is [tex]\(8.25\%\)[/tex] of the rental cost for 3 months.
[tex]\[
\text{Sales tax} = 0.0825 \times 1344.00 = \$110.88
\][/tex]
6. Calculate the total rental cost including sales tax:
[tex]\[
\text{Total rental cost} = 1344.00 + 110.88 = \$1454.88
\][/tex]
So, the total cost to rent the equipment for 3 months, including sales tax, is [tex]\(\$1454.88\)[/tex].
