Cost of Installing Hardwood Floors.....Click Here to Download File
MFM 1P0 Name:
Problem: You are an appraiser for a company that is building a house. A small part of your job is to estimate the cost to floor a room that is semi-circular at one end and triangular at the other. Remember it is your job to build the house; not criticize their taste in room design.
Part 1: Calculation of Material Costs.
A scale diagram of the room is provided.
Task #1: Calculate the area of the room in square metres. Show all work!!!
6.5 m
4.5 m
4.1 m
You are trying to decide between Superior Flooring and Floored By Us, two companies that are bidding for the job. The amount charged by each company and coverage for the various materials required are listed below. Note: the coverage means that 1 box of wood flooring covers an area of 7.5 m2.
|
Item |
Description |
Covers (m2) |
Superior Flooring |
Floored By Us |
|
Wood flooring |
Box |
7.5 |
$184.32 |
$172.51 |
|
Nails |
Box |
12 |
$11.85 |
$9.99 |
|
Glue |
3.5 L can |
6 |
$25.65 |
$19.99 |
|
Wood trim |
3 m strip |
n/a |
$9.75 |
$7.50 |
Task #2: Calculate the cost of the wood flooring
charged by each company to floor the room. Note: You will be charged for a full
box for any fraction of a box required. For example, if 6.1 boxes are used, you
would be charged for 7 boxes. Show all work!!!
Task #3: Calculate the cost of the nails charged by each company to floor the room. Round up to the nearest box. Show all work!!!
Task #4: Calculate the cost of the glue charged by each company to floor the room. Round up to the nearest can. Show all work!!!
Task #5: Calculate the perimeter of the room. Show all work!!!
Task #6: Calculate the cost of the wood trim charged by each company if there is 5 m of doorway in the room. Show all work!!!
Task #7: Calculate the total cost charged by each company to floor the room. Be sure to include 7% GST and 8% PST. Show all work!!!
Part 2: Calculating labour costs.
Superior Flooring charges $10/hour labour to install flooring. Floored By Us charges $15/hour labour to install flooring.
Task #1: Complete the following tables of values. Use the material costs that you calculated in Task #7 in Part 1.
|
# of hours labour |
Total Cost (Materials + Labour) |
|
0 |
|
|
20 |
|
|
40 |
|
|
60 |
|
|
80 |
|
|
# of hours labour |
Total Cost (Materials + Labour) |
|
0 |
|
|
20 |
|
|
40 |
|
|
60 |
|
|
80 |
|
Task #2: Plot the points from each table on the same graph.
Task #3: Draw a line of best fit.
Task #4: Determine the equation of each line.
Questions:
1.
If the job is estimated to take 20 hours, which company would you hire.
Explain your answer.
2.
If the job is estimated to take 70 hours, which company would you hire.
Explain your answer.
3.
What does the point of intersection represent?