5 Use a spreadsheet to numerically verify the result of Exercises 1-55. For Exercises 23-28 find the maximum profit and the number of units that must be produced and sold in order to yield the maximum profit, Assume that revenue, R ( x ) , a n d cos t , C ( x ) , a r e i n d o l l a r s f o r Exercises 23-26 Maximizing parking tickets. Oak Glen currently employs 8 patrol officers who each write an average of 24 parking tickets per day For every additional officer placed on patrol, the average number of parking tickets per day written by each officer decreases by 4 How many additional officers should be placed on patrol in order to maximize the number of parking tickets written per day?
5 Use a spreadsheet to numerically verify the result of Exercises 1-55. For Exercises 23-28 find the maximum profit and the number of units that must be produced and sold in order to yield the maximum profit, Assume that revenue, R ( x ) , a n d cos t , C ( x ) , a r e i n d o l l a r s f o r Exercises 23-26 Maximizing parking tickets. Oak Glen currently employs 8 patrol officers who each write an average of 24 parking tickets per day For every additional officer placed on patrol, the average number of parking tickets per day written by each officer decreases by 4 How many additional officers should be placed on patrol in order to maximize the number of parking tickets written per day?
5 Use a spreadsheet to numerically verify the result of Exercises 1-55.
For Exercises 23-28 find the maximum profit and the number of units that must be produced and sold in order to yield the maximum profit, Assume that revenue,
R
(
x
)
,
a
n
d
cos
t
,
C
(
x
)
,
a
r
e
i
n
d
o
l
l
a
r
s
f
o
r
Exercises 23-26
Maximizing parking tickets. Oak Glen currently employs 8 patrol officers who each write an average of 24 parking tickets per day For every additional officer placed on patrol, the average number of parking tickets per day written by each officer decreases by 4 How many additional officers should be placed on patrol in order to maximize the number of parking tickets written per day?
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.)
Matrix A is factored in the form PDP 1. Use the Diagonalization Theorem to find the eigenvalues of A and a basis for each eigenspace.
30 -1
-
1 0 -1
400
0
0 1
A=
3 4 3
0 1 3
040
3 1 3
0 0
4
1
0
0
003
-1 0 -1
Select the correct choice below and fill in the answer boxes to complete your choice.
(Use a comma to separate vectors as needed.)
A basis for the corresponding eigenspace is {
A. There is one distinct eigenvalue, λ =
B. In ascending order, the two distinct eigenvalues are λ₁
...
=
and 2
=
Bases for the corresponding eigenspaces are {
and ( ), respectively.
C. In ascending order, the three distinct eigenvalues are λ₁ =
=
12/2
=
and 3 = Bases for the corresponding eigenspaces are
{}, }, and {
respectively.
Chapter 2 Solutions
Calculus and Its Applications, Books a la Carte Plus MyLab Math Access Card Package (11th Edition)
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