Linear Programming MCQs PDF

Title	Linear Programming MCQs
Author	Jake Smith
Course	Financial Decision Making
Institution	Birmingham City University
Pages	1
File Size	66.4 KB
File Type	PDF
Total Downloads	114
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MAA

Limiting Factors

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Multiple Choice Questions Afirmproducestwoproducts,XandY.ThecontributionmarginperunitofXis£7,andthe contributionmarginperunitofYis£11.Thefirmhas36hoursofproductiontimeavailableeach period.Ittakes5hoursofproductiontimetoproduceoneunitofXand7hoursofproductiontime toproduceoneunitofY.Thefirmhasonly25poundsofrawmaterialavailableforuseinproduction eachperiod.Ittakes2poundsofrawmaterialtoproduceoneunitofXand3poundstoproduceone unitofY.Thefirmisinterestedinmaximizingcontributionmargin.  1.Whichofthefollowingisthecorrectobjectivefunctionifthefirmwishestomaximize contribution? A maximiseC=7X+11Y B maximiseC=7X–11Y C minimiseC=7X+11Y  D maximiseC=5X+7Y  2.Whichofthefollowingisthecorrectconstraintforproductiontime?   A 5X+7Y≥0   B 5X–7Y≤36   C 5X+7Y≤36   D 5X+7Y≥36  3.Whichofthefollowingisthecorrectconstraintforrawmaterial?   A 2X+3Y≤36   B 2X+3Y≤0   C 2X+3Y≥25   D 2X+3Y≤25  4.Acompanywishestomaximiseitsprofit.IthastwoproductsXandY.Ysellsfor£40perunitand costsare60%ofsellingprice.Xcosts£15perunitandprofitis40%ofsellingprice.Thecompanyis usinglinearprogrammingtodeterminethebestsalesmix.Whichofthefollowingisthecorrect objectivefunction?   A maximiseP=16Y+10X   B maximiseP=16Y+6X   C maximiseP=40Y+25X   D maximiseP=24Y+15X  5.Acompanyhasonly600kgsofanirreplaceablerawmaterialthatcanbeusedtomakethree possibleproducts.Detailsoftheseproductsaregivenbelow:  Product      X Y Z  Maximumdemand(units)    240 600 400  Contributionperunit.     £7 £9 £11  Quantityofrawmaterialtomakeoneunit(kgs) 0.6 0.8 0.6  Ifthecompany’sobjectiveistomaximiseprofit,whichofthefollowingproductionschedulesshould bechosen?     X Y Z   A  240 600 180    B  240 270 400   C  144 480 240   D  200 600 300   

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