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.
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.
Solution Summary: The author explains that a landscape company is hired to plant trees in three new subdivisions and charges the developer for each tree planted.
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.
A factorization A = PDP 1 is not unique. For A=
7 2
-4 1
1
1
5 0
2
1
one factorization is P =
D=
and P-1
30
=
Use this information with D₁
=
to find a matrix P₁ such that
-
-1 -2
0 3
1
-
- 1
05
A-P,D,P
P1
(Type an integer or simplified fraction for each matrix element.)
Chapter 11 Solutions
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