Problem Sheet #5 (1.8 & 2.1)
Classlb:
Math 1090
-
Name:
001 Spring 2013
Hmk. 5 Score
Instructor: Kotrino Johnson
Complete each problem. No credit wi/I be given without supporting work.
1. Given the following constraints, graph the feasible region. (Clearly label each line arid
point of intersection on your graph.)
2x—3y9
7x+6y15
3x+y—3
—
—
—
5
—
——
—
r,rw
,n,,
4——————
——
—
—
a
-
a———
—
2
—
--K:
—
:aUg,tW.
*
“—
————-—
—
L
—
—
—
--
------4..-
-------
—-——1
-__
—-----.----------
———
-
-
-
S
2
4
—
-
-
-‘
-‘3
-
I
-__
I
x—y2
2. Given the objective function, 9x-4y, and the constraints x + y
—1
7
\2<—
2
a) Find point A.
;+ S
EZEZE
S
/7
—V
—
ry
!I
‘1
‘
%
—
—
—
—.
7
\
A
,
-7
—
—
—
/
4’
b) Find point B.
3
x
C.
——
——
/
---
---
c) Find point C.
d) What is the maximum of the objective function?
e) Where does the minimum of the objective function occur?
3. Using these matrices, perform the following calculations (or state that it’s not possible):
13
3
9—10
r
—2]
Y=
B=
A= 0 5
X=L6
-4
3 -4 2
-4 2
23
b
a) :
b) 2ABT
c)
y+(X/T)T
3