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SMC MATH 21 - FINITE MATHEMATICS MIDTERM II

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FINITE MATHEMATICS MIDTERM IINAME: ____________________________STUDENT ID # _____________________SIGNATURE: _________________________SEAT: ROW ____ COL ___V 1 FINITE MATHEMATICS MIDTERM II NAME: ____________________________ STUDENT ID # _____________________ SIGNATURE: _________________________ SEAT: ROW ____ COL ___ P 1 P 2 P 3 P 4 P 5 TOTAL0 y 0 x 5 y x 4 x y 2 es.inequaliti of system following by the satisfied y)(x, points ofregion theShade (1)credit. full receive toproblems allon work Show . kind.each of sold be to ticketsofnumber thedescribing esinequaliti of system a e Writ$55000.least at of sales generate and tickets2700least at sellmust They each. $35at etsfloor tickmain and each, $15at cketsbalcony ti concert, a to ticketsof types2 sellsA theater (2)system the solvenot Do 10. y 0, x 4, y x 6,y 3 x subject toy 2 x 3 A of valueminimum theFind (3)  profit? maximize tomade be shouldeach ofmany How lamp.floor each on 6 $ and lampdesk each on 5 $ ofprofit a makescompany The lamp.floor each for $3.50 and lampdesk each for 4 $cost materials The lamp.floor a make to hours and lampdesk a make labor to ofhour It takes materials. purchase to$5600 upto and labor of hours 1440 usemay company The lamps.floor and lampsdesk makescompany lampA (4)1.20.8 2solve. NOT dobut upSet . all and maximize) n to(expressio the writeprofit, maximum for ableeach vegit of acres ofnumber thefind To 22,000. $ exceednot shouldcost totalThe acre.per $35 isprofit theand lettuce produce toacreper $120 costsIt acre.per $80 isprofit the and soybeans produce toacreper $330 costsIt acre.per $60 isprofit theandcorn produce toacreper $250 costsIt lettuce. and soybeans, corn, grows and land of acres 70 hasfarmer A (5)conditions and contraintsfunction objective B)'(A Find (e) B'. A' Find (d) B. A Find (c) notation.roster in B Write(b) notation.roster in A Write(a) }. 5 than lessinteger positive a isn where1n 3 x x { BLet }. 11 than lessinteger even positive a is x x { A Let set. universal thebe } 12 than lessinteger positive a is x x { Let U (6) 3n(B) Find (b) B)).n(A and n(B), n(A), of in terms B)An( expresseshich equation w(An principle.Exclusion Inclusion theState (a) 7.B)n(A and 26,B)n(A 13, n(A) B, andA sets For two (7) repeated? bemany digits if formed becan numbers oddmany How (c) ? repeated bemay digits if formed becan numbersmany How (b) ? digitsdifferent 3 using formed becan numbersmany How (a) }. 5 4, 3, 2, 1, { from digits using formed isnumber digit A three (8) 4possible? are tsarrangemen seatingmany how together,seated is coupleeach If seats. 8 of row ain seated are couplesFour (9)here.) useful bemay digram (A tree clearly.answer your Mark there?are numbersmany How big. tosmall fromorder in the numberssuch allList formed? becan numberst whaonce,most at appear may 3 and 2 digits but the ,many times repeated bemay 1digit theIf 3. and , 2 1, digits using formed are numbersdigit Three (10)


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