Unformatted text preview: 3. An certain toll road averages 36,000 cars per day when charging $ l .06 per car. A survey concludes that
increasing the toll will result in 300 fewer cars for each cent of increase. What toll should be charged in order to maximize the revenue? What is the maximum revenue? Let x = no. of.by which the toll per car should be increased. (If X is negative, the price should be decreased.) Revenue = R(x) = (number of cars) ‘(toli per car) : (36,; arm «4 Ema 1M 1a (2. «i— 7:; q.— 3,é2é2(2)ee.o«é~amoerie3¢¢xz’ (3g , R'ﬁﬁilﬁl :’ (their?!) warm; 3; r;— 0 @feM WZEQQQ Mead“;
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Complete the steps in the solution of the problem. What toll should be “That is the maximum larch. charged in order to
maximize the revenue? Teéé: IgMQgr/ce it: {224%
m $1M it) revenue?
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:2 Jjéﬁ 35?!)wa (1 e3“ ; ﬁfﬁéﬁeao 4. A furniture store expects to sell 540 sofas at a steady rate next year. The manager of the store plans to order these sofas from the manofacterer by placing several orders of the same size spaced equaily throughout the year. It costs
$24 per year to store one sofa. To reorder, there is a fixed cost of $20, plus a fee of $8 per sofa. How many times per Xe/V‘: 51/0 591' N35; Com lete each Ste listed below: Let x = the lot size.
Yearly carrying
' cos ts _ Yearly reorder cos I of Yearly cos 1] [Average number]
a . [ per item of items cos rs m_(°?‘fl(r§l: MK
_. tGEClG/x + 332,0 d. "hind C‘(x).
C '(x l .1 m ' or hiventory costs we C(X) l“) gamma 2: (a) w)
= (Yearly carrying costs) + (Yearly reorder costs ) ragga ggyao k2— “? Lfiiélg e. Complete the solution of the problem. W} E ra— we”? .26 camera/terrace. M
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vague i3xnz’e—wls‘mg 3,0 M '” ’GEQOC'lHL : "‘2 JD‘WL 21:“: £070 d’?(3¢gj 5;: Q‘bﬁﬂé «True? 3 v
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X 3 ‘30:; x:§0
x a 3:9 2 [each order] [ QQ+KXMW :2 (3o+§x)( year should the store reorder, and in what lot size, to minimize inventory costs? N’: Wavﬁabggmggwb , 4, a
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O {1‘4 $1124:
X; number
of orders 51:" a ) lot size 2 X 30.4427" ...
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 Fall '10
 Guyton

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