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Unformatted text preview: College Algebra Quiz #6
Fall 2006 —* Sections 5.2 — 7.2 Name You must show all your work on this paper. Solutions without correct supporting work will not be accepted.
All answers must be exact. 1. Solve using GaussJordan elimination. You must show your row operations at each step. (7 points) “HZ—2 ( i i '4 )3?" name. I 13 :3, 3;
2x—y=11 "' _.___. 
3y+z=—6 o 3 r“ , 13‘” ti “W neutrftiw
it: (cools: Explain What happens in the GaussJordan elimination 132633 when there are an inﬁnite number of
solutions to a system of equations. (2 points) W" oooio (1)"1 3. Write the ﬁrst ﬁve terms of the Sequence where a — 1:2 points) 4. A company produces plastic cups and plates, both of which require time on two machines, A and B.
Manufacturing a unit of cups requires 2 In on machine A and 3 hr on machine B. Manufacturing a unit of
plates requires 2 hr on machine A and 1 hr on machine B. Each machine is operated at most 12 hr per day.
If one unit of cups produces $50 proﬁt per day and one unit of plates produces $40 proﬁt per day, fmd the
number of units of cups and plates that will produce maximum proﬁt each day. Remember that you must
show all your supporting work to receive credit. (7 points) 1 *QWJFSJBWS OWE“) .19; 5OX+HO
5? it lgumls (jgtPlCng and—led 7
WW tn ax w é \2 mum; is. ammo)! (OK3X —i> P30
(4 O) .4>'P: 50(4)" 2CD (5,, a) a)? 5031 sets)
270 [ 5 .
ampm’git 0% $2510?”
dﬂﬂ xi: SmitSOEQWFSSW/d 3132
X32 '5 5114’ 6. Write :1: +— 1 +— 1 +i+ +i using summation notation (3 points) 6912 39 ...
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 Spring '08
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