A home owner must pick between carpet A, which costs
$6.00 per square foot, and carpet B, which costs $4.50
per square foot. If the home owner must pay the installer the
same rate regardless of which carpet is used, which of the two
carpets will be cheaper to install?
1) Carpet B takes one-third longer to install than
carpet A.
2) Labor costs are $20 per hour.
The total cost depends on the cost of
the carpet, area, installation rate, and
.
Countinue
We have two types of carpet, A and B, and we know
that A is more expensive to purchase. We also know that the installer
will charge the same rate no matter what carpet is used. So what factor
still needs to be taken into account? Well, in order to calculate labor
costs, we need to know how long it will take the installer to lay
down each type of carpet. We already know the costs of the carpets per
square foot, and we can turn the unknown costs into variables:
T A = 6(area) + R (LA)
T B = 4.5(area) + R (LB)
Total = purchase cost + labor cost
Where purchase cost is the area times the cost
per square foot, which is given, and the labor cost is the carpet installer's
rate(which is the same for both) times the labor time for each carpet.
Since area is multiplied by different values
for A and B both the area and the labor times are going
to be important values for us to look for.
Countinue
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