IViath 1090
Page 2 of 13
1. (15 points) Market research has determined that consumers will purchase 8,000 copies
of a book if it is priced at $52. If tile price is lowered to $7, the1liarciliIicates
that consumers will purchase 32,000 copies of tile book.
(a) Find the demand equation for the book. (Assume demand is linear.)
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(b) Suppose tile supply equation is given by
17
p= q+3
Find the ecjuilibriuin point.
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Math 1090
3. (15 points) Given the following matrices, perform the indicated operations. If not pos
sible, state the reason why.
A
=
[]
B
=
[]
[]
(a) Give the size of each matrix.
A= 2x2
c-
V2—
(b) Calculate A + BT
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(c) Calculate C• A
A
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c- 3x2-
11
(d) Calculate A C
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Page 6 of 13
IViath 1090
f(x)
5. (15 points) Let
(x
‘Ti and g(z)
=
—
2) -1- 5. Compute the following:
(a) (fg)(3)
1
(3)
(3)f(3)
Ltx)f(X)
-10
5)
(b) (g—f)(x)
(y1x)--
(x)
(c) (fog)(1)
5)
j(/i))
I (
(x
(Jcy(n
(i2)45)
(d) (gof)(x)
s (I (x
0
•
\1;i)
(-25
I—
(e)
V
g’(x)
c-el
EX
x)j
i-c{AA1-e
XJ
x (—t 5,
Jor
(f) The domain of
r/’-
)c-5
f(x)
+V’Q (:1
fvp —U/a t1
have
x-H
± ttc1/v
) -1
tui
,
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ç-ucv
0
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