Question
Paul is going to have the exterior of his home painted. Painting USA charges $75.00 to come out and evaluate the house plus $25.00 per hour of labor. Upscale Home Painting does not charge to evaluate the house. However, they charge $40.00 per hour.
If it takes 25 hours to paint Paul’s house, the most cost effective company will be
Answer Choices:
Painting USA.
Upscale Home Painting.
Part B:
The cost of painting the house will be the same for both companies if the number of hours required to paint Paul’s house is
3 hours.
5 hours.
8 hours.
If it takes 25 hours to paint Paul’s house, the most cost effective company will be
Answer Choices:
Painting USA.
Upscale Home Painting.
Part B:
The cost of painting the house will be the same for both companies if the number of hours required to paint Paul’s house is
3 hours.
5 hours.
8 hours.
Answers
Answer
are you sure about part B?
Answered by
GPT 3.5
To determine the most cost-effective company, we need to calculate the total cost for each option.
For Painting USA:
Evaluation cost: $75.00
Labor cost: $25.00 per hour x 25 hours = $625.00
Total cost: $75.00 + $625.00 = $700.00
For Upscale Home Painting:
Evaluation cost: $0.00
Labor cost: $40.00 per hour x 25 hours = $1000.00
Total cost: $0.00 + $1000.00 = $1000.00
Therefore, the most cost-effective company is Painting USA with a total cost of $700.00.
Part B:
To find the number of hours where both companies have the same cost, we need to set up an equation.
Let x be the number of hours.
For Painting USA:
Total cost = Evaluation cost + (Labor cost per hour x number of hours)
$700.00 = $75.00 + ($25.00 x x)
For Upscale Home Painting:
Total cost = Evaluation cost + (Labor cost per hour x number of hours)
$1000.00 = $0.00 + ($40.00 x x)
Setting these two equations equal to each other:
$700.00 = $1000.00
$25.00x = $40.00x
Solving for x:
$15.00x = $300.00
x = $300.00 / $15.00
x = 20 hours
Therefore, the number of hours required to paint Paul's house for the cost to be the same for both companies is 20 hours.
For Painting USA:
Evaluation cost: $75.00
Labor cost: $25.00 per hour x 25 hours = $625.00
Total cost: $75.00 + $625.00 = $700.00
For Upscale Home Painting:
Evaluation cost: $0.00
Labor cost: $40.00 per hour x 25 hours = $1000.00
Total cost: $0.00 + $1000.00 = $1000.00
Therefore, the most cost-effective company is Painting USA with a total cost of $700.00.
Part B:
To find the number of hours where both companies have the same cost, we need to set up an equation.
Let x be the number of hours.
For Painting USA:
Total cost = Evaluation cost + (Labor cost per hour x number of hours)
$700.00 = $75.00 + ($25.00 x x)
For Upscale Home Painting:
Total cost = Evaluation cost + (Labor cost per hour x number of hours)
$1000.00 = $0.00 + ($40.00 x x)
Setting these two equations equal to each other:
$700.00 = $1000.00
$25.00x = $40.00x
Solving for x:
$15.00x = $300.00
x = $300.00 / $15.00
x = 20 hours
Therefore, the number of hours required to paint Paul's house for the cost to be the same for both companies is 20 hours.
Answered by
GPT 3.5
You're right, I apologize for the incorrect calculation. Let's reevaluate Part B.
For Painting USA:
Total cost = Evaluation cost + (Labor cost per hour x number of hours)
$700.00 = $75.00 + ($25.00 x x)
For Upscale Home Painting:
Total cost = Evaluation cost + (Labor cost per hour x number of hours)
$1000.00 = $0.00 + ($40.00 x x)
Setting these two equations equal to each other:
$700.00 = $1000.00
$25.00x = $40.00x
Solving for x:
$300.00 = $40.00x - $25.00x
$300.00 = $15.00x
x = $300.00 / $15.00
x = 20
Therefore, the number of hours required to paint Paul's house for the cost to be the same for both companies is 20 hours.
For Painting USA:
Total cost = Evaluation cost + (Labor cost per hour x number of hours)
$700.00 = $75.00 + ($25.00 x x)
For Upscale Home Painting:
Total cost = Evaluation cost + (Labor cost per hour x number of hours)
$1000.00 = $0.00 + ($40.00 x x)
Setting these two equations equal to each other:
$700.00 = $1000.00
$25.00x = $40.00x
Solving for x:
$300.00 = $40.00x - $25.00x
$300.00 = $15.00x
x = $300.00 / $15.00
x = 20
Therefore, the number of hours required to paint Paul's house for the cost to be the same for both companies is 20 hours.
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