HELP! I need help with my algebra homework that is due tonight! If anyone could help me out it shouldn’t take long at all since it is only 3 questions.
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Ch 3.2 Type 2 (Homework)
Instructor: Isuru Dassanayake
Due : Friday, March 9 2018 11:59 PM CST
Current Score : -13
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Question
1
2.
3
Total
-11 -11 -11
-/3 (0.0%)
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For this assignment, you submit answers by question parts. The number of submissions remaining for each question part only changes if you submit or change the answer.
Assignment Scoring
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1.
-/1 points HarMathAp 11 3.2.044.MI.
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A clothing manufacturer has factories in Atlanta, Chicago, and New York. Sales (in thousands) during the first quarter are summarized in the matrix below.
N.Y.
Atl. Chi.
Coats 40 60
Shirts 82 50
Pants 8 17
Ties 7 6
10
43
7
6
During this period the selling price of a coat was $250, of a shirt $30, of a pair of pants $60, and of a tie $30. Use matrix multiplication to find the total revenue received by
each factory.
Atlanta $
Chicago
$ $
New York
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2.
-/1 points HarMathAp 11 3.2.046.
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Matrix A below gives the fraction of the earth’s area and the projected fraction of its population for five continents in 2050. Matrix B gives the earth’s area (in square miles)
and its projected 2050 population.t
Fraction
of Area
0.162
Fraction of
Population
0.047 North America
0.086 South America
0.065 Europe
0.582 Asia
0.119
A =
0.066
0.298
0.202
0.215
Africa
Area
57,850,000
Population
0
Area
B =
0
9,322,000,000
Population
Find the area (in square miles) and population of each given continent by finding AB.
11
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3.
-/1 points HarMathAp 11 3.2.047.MI.
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Suppose that, for a certain metropolitan area and the surrounding counties, during each 5-year period an average of 20% of the metropolitan population M moves to the
surrounding counties and the rest remains. Similarly, suppose that in the same period, an average of 30% of the surrounding counties’ population s moves to the metropolitan
area and the rest remains. This population dynamic can be represented by the following matrix
M s
80% 20%]M
30% 70%S
D =
=
0.8 0.2
0.3 0.7
where row 1 shows how the metropolitan population M changed (80% remained in Mand 20% moved to S), and row 2 shows how the population of the surrounding counties
changed. Currently the population is evenly divided between the two areas, which can be represented by the row matrix
P=
[%
% in M % in S
=
50%
50%
6] = [0.5
0.5
(a) Form the product PD.
Interpret its entries.
After 5 years, M has
% and S has
% of the population.
(b) Predictions of this population distribution after 10 years and after 15 years could be found from what matrix products?
10 years
p.
15 years
P.
(C) Suppose that at some future time, the populations reach the point where 60% live in the metropolitan area and 40% live in the surrounding counties. Find the
predicted distribution 5 years later.
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ATITI Timo Pupuruum .
TITI
པསྔཅཔས
TUCI
M
S
80% 20%]M
D =
30% 70%S
=
0.8 0.21
10.3 0.7
where row 1 shows how the metropolitan population M changed (80% remained in M and 20% moved to S), and row 2 shows how the population of the surrounding counties
changed. Currently the population is evenly divided between the two areas, which can be represented by the row matrix
P=
[%
% in M % in S
in s
=
50%
50%
| = [
(0.5 0.5).
(a) Form the product PD.
Interpret its entries.
After 5 years, M has
% and S has
% of the population.
(b) Predictions of this population distribution after 10 years and after 15 years could be found from what matrix products?
10 years
P.
15 years
P.
(C) Suppose that at some future time, the populations reach the point where 60% live in the metropolitan area and 40% live in the surrounding counties. Find the
predicted distribution 5 years later.
%
M =
S =
%
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