_______ __________ _____
Problem Sheet #5 (1.8 & 2.1)
Classlb:
Math 1090
-
Name: S,l4Jor1S
001 Spring 2013
Hmk. 5 Score
Instructor: Katrina Johnson
Complete each problem. No credit will be given without supporting work.
1. Given the following constraints, graph the feasible region. (Clearly label each line and point of intersection on your ra h.
0 , (
_2,’)
( -‘)
3x+y—3
Poin4 S c
3(k%
0 ci
3(0)4
4
1_ 2’.-’i c
4
1%
4
-p.ac’4 C” 9)( +
1_3
3(-3) 4
-
-
33

_-1 x—y2
2. Given the objective function, 9x-4y, and the constraints
7
-v
<
—
2 a)FindpoiritA.
b) Find point B.
‘L -i c) Find point C.
o.
-
-
2.
/1 1_
-I
21
-i d) What is the maximum of the objective function?
e) Where does the minimum of the objective function occur?E5\
3. Using these matrices, perform the following calculations (or state that it’s not possible):
[1
31
A=J 0
51
[-4 2]
19 —1 0]
B=I
[3 -4 2
X =[6 -2] Y=[4]
E b) 2ABT
10
0
-
02 I