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Practice 02 Math 142 - Alg Review #2 (1626668)
Due:Wed Jan 26 2011 11:55 PM CST
1.
Question 123456789
Question DetailsTAMUBusCalc 2.2.001. [1686257]
Base d upon m ark e t re se a rch, the Ha wthorne C om pa ny has de te rm ine d tha t consum e rs a re willing to purchase 140 units of the ir
portable m e dia pla ye r e a ch we e k whe n the price is se t a t $322.75 pe r unit. At a unit price of $281.50, consum e rs a re willing to
buy 415 units pe r we e k .
(a) De te rm ine the we e k ly de m and e qua tion for this product, assum ing price , p, a nd quantity, x, a re line a rly re late d.
Ente r the e qua tion coe fficie nts as e x act de cim als.
p=
(b) De te rm ine the num be r of units consum e rs will de m and we e k ly whe n the price is $304.30 pe r portable m e dia playe r.
units
2.
Question DetailsTAMUBusCalc 2.2.003. [1686301]
W ilde rne ss Fanatic, a m anufa cture r o f outdoor goods, is willing to supply 1000 of its Blue Thrash ta nde m k a yak s whe n the price
pe r k ayak is se t a t $410. If the price is re duce d by $75, W ilde rne ss Fana tic will supply 625 fe we r k ayak s.
(a) De te rm ine the supply e qua tion for this product, assum ing price , p, and qua ntity, x, are line a rly re la te d. Ente r the
e quation coe fficie nts a s e x act de cim a ls.
p=
(b) De te rm ine the price pe r k a yak whe n W ilde rne ss Fa na tic is willing to supply 1090 units.
$
3.
pe r k aya k
Question DetailsTAMUBusCalc 2.2.005. [1686261]
Irwin Music se lls its brand of acoustic guitars at $200.90 e ach. The com pany incurs costs of $60.75 to m a nufa cture e ach guitar.
The associate d we e k ly fix e d costs fo r the com pany a re $19,500.
(a) De te rm ine the line a r e quation re lating profit, P, to the num be r of a coustic guitars produce d, x.
P=
(b) W hat is the bre ak -e ve n quantity (rounde d to the ne are st whole unit)?
guita rs
(c) Using the re sult from (b), de te rm ine the bre ak -e ve n re ve nue , rounde d to the ne a re st ce nt.
$
4.
Question DetailsTAMUBusCalc 2.1.005. [1686483]
The de m and function for a 5-she lf o ak book ca se from Stora ge Spe cia lists is p(x) = 230 − 0.35x, whe re p is the price pe r
book case whe n x hundre d book cas e s are de m ande d.
(a) De te rm ine the re ve nue function R(x) for this product. Note that this function give s the re ve nue in hundre ds o f
dollars.
R(x) =
(b) W hat is the price pe r unit associa te d with a de m and of 7400 book case s?
$
(c) W hat is the re ve nue a ssocia te d with this le ve l of de m a nd? (R e m e m be r that the units of R(x) are in hundre ds of
dollars.)
$
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Question DetailsTAMUBusCalc 2.1.006. [1686295]
Find the e quation of the function g(x) whose gra ph is cre ate d by applying the following transform ations to the gra ph of
f(x) = x2.
1. Shifte d to the right 1 unit(s)
2. Shifte d down 4 unit(s)
3. R e fle cte d in the y-ax is
g(x) =
6.
Question DetailsTAMUBusCalc 2.4.001. [1686263]
For the quadratic function y = −2x2 − 12x − 17, wha t a re the coordinate s of the ve rte x ?
(x, y) =
7.
Question DetailsTAMUBusCalc 2.4.002. [1686269]
W hat is the range of y = −3x2 − 54x − 229?
(− ,
14]
(− ,
−229]
[14,
)
(− ,
−9]
[−229,
)
8.
Question DetailsTAMUBusCalc 2.4.003. [1686274]
The num be r of tho usa nds of pe ople pe r m onth tha t ha ve ridde n the Stom ach Inve rte r rolle rcoaste r a t De se rt La nd am use m e nt
park can be m ode le d by the function V(t) = −0.172t2 + 2.657t + 1.366 whe re t is the num be r of m onths since the ope ning of
the rolle rcoaste r.
(a) How m any pe o ple rode the rolle rcoaste r during the fourth m onth it wa s ope n? R ound your answe r to the ne are st
ride r.
ride rs
(b) W hat is the m a x im um num be r of ride rs in a single m onth? R ound your answe r to the ne are st ride r.
ride rs
9.
Question DetailsTAMUBusCalc 2.4.004. [1686299]
The de m and function for a pa rticula r brand of LC D TV is p = 2555 − 35x, whe re p is the price pe r unit in dolla rs whe n x
thousand te le visio n se ts a re sold.
(a) De te rm ine the num be r of se ts that m ust be sold in orde r to m a x im ize the re ve nue .
se ts
(b) To the ne are st whole dollar, what is the m ax im um re ve nue ? Note tha t R(x) is in te rm s o f thousa nds of dollars.
$
(c) To the ne are st ce nt, wha t is the price pe r unit whe n the re ve nue is m a x im ize d?
$
pe r unit
Assignment Details
Name (AID): Practice 02 Math 142 - Alg Review #2 (1626668)
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Author: W hitfield, Jennifer ( jwhitfld@math.tamu.edu )
Last Saved: Jan 14, 2011 01:43 PM CST
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