Quiz 1 Key - Spring 2008

# Quiz 1 Key - Spring 2008 - Finite Mathematics Quiz#1 Friday...

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Unformatted text preview: Finite Mathematics Quiz #1 Friday, January 25, 2008 Name Show all your work on this paper. Solutions without correct supporting work will not b ccepted. ‘ .. | 1. Minimize C = 2x + 3y (9 points) 0 E066.th 9x+4y240 o lo m‘DOiBn—S PM aw sub’ec to x+4y 2 8 (01b) _b_. ‘C: 2(0)f3(l°):3ﬂ (4")ﬂb C’: 9+ (gm—b 5" ’QM‘M’ 2. Set up the following problem but do not solve. A road—paving ﬁrm has on hand three types of paving material. Each barrel of type A contains 2 gallons of carbon black and 2 gallons of thinning agent and costs \$5. Each barrel of type B contains 3 gallons of carbon black and 1 gallon of thinning agent and costs \$3. Each barrel of type C centains 3 gallons of carbon black and 1 gallon of thinning agent and costs \$4. The ﬁrm needs to ﬁll an order for which the ﬁnal mixture must contain at least 12 gallons of carbon black and at least 6 gallons of thinning agent. How man b gels of each t e of paving material should be used to 5m expense? (7 points) 0 jQCF'Vei Minimize. 6142121132.) E 1: x -:_ .5- dz) bawds % W 76‘ W 3 '2 'lbib IOOANJA gulcded'rf’a: Z ..,., 14> ob bowuﬂ/J Ugwplﬂ/ , 2er 3 5+ 5 2 2 I; (o 2x+g+ z z; LOOK ONTHE BACK [j 20‘ % Z O 3. Solve the following system of equations using Gauss—Jordan elimination. List the row Operations used at each step (For example: -3R1 + R2) You may use ROWOPS or MATRXOPS. (9 points) l x—2y+32:9 ix+3y=—4 2x~5y+52=l7 (_ 1'2 5 \‘50 2—55 ‘3) n 241167.")? K?— ( *ZfJ lie—3’7 £3 1—2301” 0 l 3 5 o~l~l~l ...
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Quiz 1 Key - Spring 2008 - Finite Mathematics Quiz#1 Friday...

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