Landscaping A landscape company is hired to plant trees in three new subdivisions. The company charges the developer for each tree planted, an hourly rate to plant the trees, and a fixed delivery charge. In one subdivision it took 166 labor hours to plant 250 trees for a cost of $ 7520 . In a second subdivision it took 124 labor hours to plant 200 trees for a cost of $ 5945 . In the final subdivision it took 200 labor hours to plant 300 trees for a cost of $ 8985 . Determine the cost for each tree, the hourly labor charge, and the fixed delivery charge.
Landscaping A landscape company is hired to plant trees in three new subdivisions. The company charges the developer for each tree planted, an hourly rate to plant the trees, and a fixed delivery charge. In one subdivision it took 166 labor hours to plant 250 trees for a cost of $ 7520 . In a second subdivision it took 124 labor hours to plant 200 trees for a cost of $ 5945 . In the final subdivision it took 200 labor hours to plant 300 trees for a cost of $ 8985 . Determine the cost for each tree, the hourly labor charge, and the fixed delivery charge.
Landscaping A landscape company is hired to plant trees in three new subdivisions. The company charges the developer for each tree planted, an hourly rate to plant the trees, and a fixed delivery charge. In one subdivision it took 166 labor hours to plant 250 trees for a cost of
. In a second subdivision it took 124 labor hours to plant 200 trees for a cost of
. In the final subdivision it took 200 labor hours to plant 300 trees for a cost of
. Determine the cost for each tree, the hourly labor charge, and the fixed delivery charge.
Expert Solution & Answer
To determine
To find: A landscape company is hired to plant trees in three new subdivisions. The company charges the developer for each tree planted, an hourly rate to plant the trees, and a fixed delivery charge. In one subdivision it took 166 labor hours to plant 250 trees for a cost of . In a second subdivision it took 124 labor hours to plant 200 trees for a cost of . In the final subdivision it took 200 labor hours to plant 300 trees for a cost of . Determine the cost for each tree, the hourly labor charge, and the fixed delivery charge.
Answer to Problem 80AYU
Solution:
The cost for each tree is and hourly labor charge is .
Explanation of Solution
Given:
A landscape company is hired to plant trees in three new subdivisions. The company charges the developer for each tree planted, an hourly rate to plant the trees, and a fixed delivery charge. In one subdivision it took 166 labor hours to plant 250 trees for a cost of . In a second subdivision it took 124 labor hours to plant 200 trees for a cost of . In the final subdivision it took 200 labor hours to plant 300 trees for a cost of .
Calculation:
Let the hourly labor charge be and cost for each tree be .
We have
We have
Substituting in equation we have
Therefore, The cost for each tree is and hourly labor charge is .
University Calculus: Early Transcendentals (3rd Edition)
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