Math 1090.04 Quiz 04
Spring 2013
Student ID Number:
Name
—
Instructions:
• Please remove headphones and hats during the quiz
• Show all work, as partial credit will be given where appropriate. If no
work is shown, there may be no credit given.
• All final answers should be written in the space provided on the quiz and
in simplified form. When needed give your answer as an exact amount,
, except for dollar amounts
2
i.e., a fraction or symbolic expression like e
cent.
which should be rounded to the nearest
• Calculators are not allowed on this quiz.
• If your phone is out during the quiz it will be considered a
cheating offense put your phone away!
-
• When you have completed this quiz, place your homework on top of your
quiz and remain quietly at your desk. All homework and quizzes will be
collected together.
Quiz 04, Page 2 of 5
MathlO9O.004
06 February 2013
WRITE YOUR ANSWERS ON THE LINES PROVIDED
1. Following the steps below, find both the maximum and minimum of the objective func-[100 pts]
tion P(x + y) = 2x + p given these constraints:
2x+2y>3
(1)
2x+y<4
(2)
yO
(3)
(4)
(a) Graph the feasible region using a test point on the graph provided:
5pI: 9
7i
cudrj erzOns
On
rj
id
0
—)(+-
-Zx+
so/dQ
Soil
ci
( ‘)
2(1)
H
1>0
C
Math 1090.004
Quiz 04, Page 3 of 5
Figure 1: Problem l.a
06 February 2013
06 February 2013
Quiz 04, Page 4 of 5
Mathi 090.004
(b) Label each corner point of the feasible region and write the system of
equations that corresponds to each corner point
C
2x*4
t)
(c) Solve each system of equations to find each corner point
-
Show your
work!
LJ
-
C
..
!::1z:
C
Xz’-Z
4
( -Zxk
Z
x
:
2
Z3
—-+
C
MathlO9O.004
Quiz 04, Page 5 of 5
06 February 2013
(d) Find the maximum and minimum of the objective function P(x, y)
=
=
,O z()-I=
p(lo z(O
I
‘2—
‘
Z(o
4
A
nüwm
3
i/z \‘1
p° (o4)
pôt
(2,
2x+y
II
C
C
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