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
SHORTANSWER.Writethewordorphrasethatbestcompleteseachstatementoranswersthequestion.
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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Document Summary

2x - y + 3z = 12 x + y - z = -3 x + 2y - 3z = -10: a manufacturer produces two products, a and b. His fixed cost is ,000 and his variable cost per unit is . 50. (a) at what level of production will he break even? (b) at what level of production will he have a profit of ,000: find the equilibrium point if the demand equation for a product is p = q. Testname: math 1130 exam 3 review (au 17: x = 1, y = -1, z = 3, 2500 units of a, 2000 units of b, 0. 3 lb of peanuts; 0. 6 lb of cashews; 0. 1 lb of almonds, (a) 1,250 units, p = 1; q = 80, break even point is: (20 units, ,500, (a) 7, x = 10, y = 5 (b) 3 4 (b) 3,750.