10.13.Solutions by hand WS 2.5_Page_2

10.13.Solutions by hand WS 2.5_Page_2 - 3 An certain toll...

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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 maWAbI-rW/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~w-w-n4 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?) _ 0-4?- JD‘WL 21:“: £070 (3’263‘0) 5;: Q‘bﬁ-ﬂé . 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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