# Math 1130 Exam 3 review (AU 17)

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Published on 31 Jan 2019
School
Ohio State University
Department
Mathematics
Course
MATH 1130
Professor
Math1130Exam3Review
Provideanappropriateresponse.
1)
Solvethefollowingsystemalgebraically:
2x-y+3z=12
x+y-z=-
3
x+2y-3z=-10
1)
2) Amanufacturerproducestwoproducts,AandB.ForeachunitofAsoldtheprofitis\$8.
ForeachunitofBsoldtheprofitis\$11.Frompastexperienceithasbeenfoundthat25
percentmoreofAcanbesoldthanofB.Nextyearthemanufacturerdesiresatotalprofit
of\$42,000.Howmanyunitsofeachproductmustbesold?
2)
3) Anutshoppackagesmixturesofdifferentnutsforsale.Frompeanuts,cashewsand
almonds,theownerwantstoprepareamixturewhichwillsellfor\$4.45fora1poundbag.
Thecostperpoundofthesenutsis\$1.50,\$6.00,and\$4.00,respectively.Theamountof
peanutsistobethreetimestheamountofalmonds.Howmuchofeachtypeofnutwillbe
inthefinalblend?
3)
4) Amanufacturersellshisproductat\$12.50perunit,sellingallheproduces.Hisfixedcost
is\$5,000andhisvariablecostperunitis\$8.50.(a)Atwhatlevelofproductionwillhe
breakeven?(b)Atwhatlevelofproductionwillhehaveaprofitof\$10,000?
4)
5) Findtheequilibriumpointifthedemandequationforaproductisp=q
20 -3andthe
supplyequationisp=80
q.
5)
6) FindtheBreakEvenPointforaproductwhoseTotalRevenue,
y
TR
,
(in\$)andTotalCost,
yTC,(in\$)areasfollows:
yTR=(10q-25)q
yTC=2000+75q
6)
7)
IfA=
1604
2310
4728
,determine(a)a32,and(b)theorderofA.
7)
8) Solvethematrixequation: x
y
-1
52x
=2
y
4
52x8)
9)
Findthetransposeofthematrix:
133
456
789
9)
1
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