Unformatted text preview: 3. An certain toll road averages 36,000 cars per day when eherging $ l .06 per car. A survey concludes that
increasing the toil 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.) leewfz» Synge: we? '1“ j; .44.) £3630 '3;  35;) cm ﬁx a 500 X >— Revenue = R(x) = (number of cars) ‘(toli per ear) : (36,; me «4 Ema 1M 1a (2. «r— 7:; q.— = Mg,é2é2€2)0ea.v+évﬁﬂvi‘3nkcx2’ (3g , 4%
Complete the steps in the solution of the problem. What toll should be R " air.) : (25 e e: 0 we“; a: «2 yr. r; 0 A? 7.53% WEEEMQ “deﬂate charged in order to
[w 0 £2 a 5 g; Q a % maximize the revenue?
karmic I I r 7369: 152M954 {C‘CJ‘ELLEK
were 2’“ ’0 M K 2; ("3 (kl/23" Te 397,10
Mei Lie/reewéﬁfee rear: : r9 “(me wear: M F‘ ”(eh «awe. e W
revenue?
F3600} ﬁ Eirﬁuc; 30¢; 4w
(39 0‘30 (jar)  r3 oodwfg]
ﬂ Jjéﬁ (Rajaaﬂg (1 e3“ ; li‘ﬁéssao Cﬁrwm dimer 4&6?” It? {fég ) 44 ﬁu§i maWAbIrW/mn 4. A furniture store expects to sell 540 sofas at a steady rate next year. The manager ofthe store plans to order these
sofas from the manofaeterer 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
year should the store reorder, and in what lot size, to minimize inventory costs? N: W%€4Lg£ﬂ&&"uia {am a
. r w _ ' 11>
”(We 5%: ah. r1135 2;, gm.
X; Com lete each Ste listed below: Let x = the lot size. Yearly carrying Yearly cost Average number Yearly reorder cost of number a. m . 2 . cos ts per item of items cos Is each order of orders a ' ‘ X _ . ~ . Elia
nigh/ME) Z N‘K = Qaed’xﬂﬁ):(3o+§x)( 9r. ) :3. ‘ﬁgaﬂ/ﬁx + ‘73 «Etc
. ————w~wwn4 or [memory costs 3 C(X) i“) new“; 2: (a) ea) d. Find C(15). “:2 £90
= (Yearly carrying costs) + (Yearly reorder costs ) C, "(K 3 5 } 91 ._. ' 5c?— ragga
24 , F “J ~ e. Complete the solution of the problem. lot size 2 X
agg‘ E92 ragiﬁ 32G QMeeéwﬁwM _ 3‘ 9
562% X— C :51 ' _ y a?) _ 04? JD‘WL 21:“: £070 (3’263‘0) 5;: Q‘bﬁﬂé . or r ,. a ..
X)”: 10£O£P LC 3693 cmmuf ordersper
3w (‘9. 3") M 2‘3“er @Mzﬁ “wee/1W?“ 3/6315”
X 3 ‘30:; x:§0
g, a 3:9 number of ...
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 Fall '10
 Guyton

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