Problem Sheet #7 (3.1-3.3)
Classlb:
Math 1090
-
Hmk. 7 Score
Instructor: Katrina Johnson
Name:
001 Spring 2013
Complete each problem. Clearly indicate your final answer. No credit will be given without
supporting work
1. Solve for x.
—12x=18
2
a) 4x
Z
oj_J
14
2.
2
+3x+2=7x
8x
b) 2
X
’,c#2=c,
4
\zLZE2
(%+ )ryo
—5=607
2
c) 9x
(
J
Ii
—11=4x
2
d) 5x
_th -i:O
1
5%
14 ±
,c
4
_14(c,)(j
to
—
H
1(
2. If the demand function for a commodT1jIven by p =96— 5q q
2 and the supply
function is given by p = q
2 + 3q+ 32, find the market equilibrium quantity and price. (Write
your answer as a point.)
—
3(D
342
2
L4
z
-12
2-
92
432
3. Complete the square to write y
‘2
(c
‘2
in vertex form.
‘‘+_L)
1
\
3
— 3x +3
=
(-+
4.
Consider the function,
a)
What
f(x)
=
—3(x + 1)2 —4,
for the following problems.
is the vertex of the function?
(-‘,-‘‘)
b)
Is the vertex a maximum or minimum?
c&-3<o
cv,e)c (V)Cr
c) What is the axis of symmetry of the function?
d)
What are the x-intercepts of the function?
Th’.S
flVQ
CYOSi€S
I
e)
What
5.
Mr. Smith makes and sells bicycles. His cost function is given by
is the y-intercept of the function?
revenue function is described by
R(x)
=
2 + 124x.
—x
a) What is the profit function?
,- LL’)
b) What
-
C(x) =50x+744. His
2’4L —(+iq
\-
+
is the maximum profit?
-
-
2c’
2±-
39
(
t
i)
c) How many bicycles must be sold to break-even? What is the cost of producing these
bicycles?
2S
0
(
o
-1_ O
CCo2)
S1
Vz\E