Faaliyetler İş Araştırma ve İktisat Quantitative Part 4 MAN 203 QUANTITATIVE METHODS (EMil KUZEY presents the number of potential g;mblers reached by making us~ 'of an :advertisement in each of the four ' media. It also provides the cost per advertisement placed and the maximum number of ads that can be ' purchased per week. I MEDIUM AUDIENCE REACHED ' I COST PER AD($) I MAXIMUM PER AD ADS PER WEEK TV spot (1 min) . 5000 800 12 Daily Newspaper(full-page ad) 8500 925 5 Radio spot (30 sec prime time) 2400 290 25 Radio spot (1 minute, afternoon) 2800 38b 20 . WIN 'BIG~s contractual. i",angel1')ents require that at le~st 5 radio spots be placed each week. To ensu're'a broad. -scoped promotional camp~ign, management als6insists that no more than $1800 be spent oh radio advertising 'every week 2_ MSA is a marketing and computer research firm based in Washington DC, that handles consumer surveys.:, Orie of it . s clierHS is " a " fldt"l6r'ia- j j3f~~S 's~rvli:e that ~eliuditally (orl'diJ~ts ~olitical pOi. l:; or. issues of · wldespj-ead : fnterest. In a survey for,the'pressservice, MSA determines that it must fulfill several requirements in orderl,," - draw stati. stically valid con.C!uslonson .the sensitive issue of new US immigration laws: survey at leasf23oqUSho'usenolds in total survey at least 1000'nou'seholds whose heads are 30 years of age or younger . surveyatle.ast:6()9:'~9i:JsE!lTqf' . - . . .. .• ..• ' .. " "' MSAdecii:lesthatailsur\iey$~tiP:uidbe[6riducted in pers'oh. iiestimates that thecosts6fr~~chihg p~'o'ple\i.: ,. each age and regibn cat~goN~rj! ~sibljows .. .. " '. - - '. . . " .... .. , 'd, ~, : . .. -. . ..... COSTPE~.RE~~ON SURVEYEQ(S) : ". ':" '.>:':'.<>' .:,- 'AGE < 30 ·. . AGE 31.50 .. ' -AGE > S'l : , . StATE-BORDERING ME)OCo; ~~< ' $7.50 - $6.80 $5.50 $Tf.\t~ NOt SORDERiNGMEXico":< $6.90 . $7.25 . :$6.10 '. MSA's goal'is to meetthe 5siimpling requirements at th'e lei!St possible 01."""'''''':'.;''0: chooses to meet that demand.(most of the ties are not shipped with the name FIFTH AVE on their label, incidentally , but with "private stock" labels' supplied by the stores. The table below summarizes the contract demand for each of the 4 styles of ties, the selling price per tie, and the fabric requirements of each variety. FIFTH AVE's goal is to maximize its monthly profit. It must decide upon a policy for product mix. VARIETY OF SELLING PRICE MONTHLY MONTHLY MATERIAL MATERIAL TIE PER TIE($) CONTRACT DEMAND REQUIRED REQUIREMENTS MINIMUM PER TIE (M) Ali silk 6.70 6000 7000 · O.12S 100% silk All polyester . 3.55 . .. 10000 . 14000 0.08 100% polyester Poly-cotton 4.31 13000 16000 0.10 . 50% polyester- blend I " " . 50% cotton . Poly - cotton . 4;8i 6000 8500 0.10 30% polyester- , blend II . , 70% cotton . " 4_ Greenberg Motors maiiiifacYiirltnwo oifferent electrical motors for sale under contract to DrexeICorp .. ,.a.- ... . well - known producer of .sr:n~HM .ch:~h:appliances. Its model GM3A is found in many Drexel food processors a~d its model GM3B-i5 used in th'i~~~~Mbiyofblende-.s. . Three times each year, thePr9~u.r~rr.e,lt officer at Drexel contracts Irwin Greenberg, the founder of Greenberg.' Motors, to place a m6nth!Y,'bf~~tf~t:~~-t,liqf.the corhingfourrl)()nths. Drexel's demand for motors varies each. , . month based on its ,0wn:s~I~~Jof.e~i~i~;jnoduction capacity, and financial position. Greenberg ha~' ju~t.'i~~:eN,~~ ,: ... the January,Aprii orderand.{h'6$i:ii '~gj'(\·:hisown four-month'piocluction plan. The demand for motors is s/:i~\iVn:'} , , below. -- .~.: " ' ': .: .. ,' .. .. . . . . . ' ... . . : ;.~::. .. :; :: :: . :. ' -:", .. :,' - . ', . . ., .: .. Production plan~ing at G~~~~b~ig M6i'~r~ mU5t consider four factors: . . . ' . . the desirability ()f,pfci the scheduling of\Yd{kJii~ncj :machines. ' . ' . ' . " .. .• "'," ',', .. The necessity to k~ej;:dbw':rin~ehtOry carrying, or holding, costs. This suggests producing in each m-onth only what is need~d iit:tii~t:R{dnth " . '.' '.. ' , Warehouse Iimit~tio!)'~t'6~{c~iinot be exceeded without great additional storag~ costs . The company's..no :":r~~~ff~olii:y; which has been effe~tive,in preventiflg,a unionization of the sbop. This ~'. ~ suggests a minimum' p'roduction capacity that should b&use'd'each ~~h - ':.:': .- . .~ ~.':";:".".":. .. .'.. -:.....:.....- . - -----'- Although these four factors 'often conflict, Greenberg has found that LP is an effective tool in setting up a production schedule that will minimize his total costs of per unit production and monthly holding. The p, 'YMI'I UlclVV:::O Up- 1,.I1t: IVIIUVV 11 1> ldUIt::, in which he rates the estimate. d:effectbleness (on a scale of 1 to 9) of each lawyer on each new case. CLIENT'S CASE LAWYER , EXHIBITIONISM .. . -~ ... : ' .. r-c,..'- '::,:A:::D:-:A::,:M:::S_ .• __ .. __ . ·+ ··:.,, ··· ...,·..., · ';·:.,, · ·:,-' ·;2~: --· :· c.: '~· c.: ' c.: ·'-- ;.:'''l ' __ .,~ , ~-.-: ' 2=- . _ ' _" -+ __ ----'8-- ,---+- ·- '·- '~·- ·.c:5:__ ' ~'~ ' ~ '. -:"'1 ' .• :: ; .... . . BROOKS ,;'·· ':" Jr· ... . 3 . 5 8 '. '.' . . . b~ __ _ _ CARTER ,', '.4 ' 8 . 3 .4 DARWIN ' . . ···· / 6·. '. i " ," . . ' '. ' i; , 4 - .;-. -;-- - .- ........ " .• . . " ' .. - . - --/~-.' - '~:;: - . . labor Planning ' '-. " . . ',_c, ... ~ " , . 6~ f:longKong Barikoi i:orhm~icean(il~dustry is a busy ba~kthathas requirements for betwe.en·l0and18 . ·· . ilillers, depending 0'n'theiime '6r day. · The lunch time, fromn~~nto 2 P.M. , is usually heaviest. The table below indicates· the worker ne-ededat" variQUS hours that- the bank is· qpen ~ ~'~ '. . ... , . . The.b. ank now emp'loysii full-time tellers, but many poople'are on.its roster a/available part - time ' employees. A part - time employee must put in exactly 4 hours 'per day but can start ariytime between gAM and 1 PM. Part-timers are a fairly inexpensive labor pool, since no retirement or luch benefits are provided for them. Full timers, on the other hand, work from 9 AM to 5 PM but are allowed 1 hour for lunch. Half of the full-timers eat at 11 AM, the othe.r...haIi at noon. Full- \imers thus provide 3~urs per week ofprc.ductive labor time-- 3 . TIME PERIOD NUMBER OF TELLERS REQUIRED ~AM-l()AM. . ' . 10';:". ~" .... _.->!.;t,:", . , . I" . . ''', , .- ;ioA~"'l'il\l0 1,2".., - T , " l'rAM":NtloW'.\ ';[~,~, :i~I1 J'::-.' , '" . - ,.,' I ~ .: .;~ .~- , , · ;-jf~dm~let~r '. , 1'''16-. , , .. · . \ IP~2IlW\ '.' ... · ... , '. " ) 8 , · -2PM~3PM ' n; ~. .. , . 3PM-4PM 15 4PM-5PM 10 • - By corporate polley, the bank limits part-time hours te-a·maximum of 50% oft-he-day's total-r-eEjUiFemeAt.·Part­ timers earn $8 peT hour .(or $32 per day) on average, and full-timers earn $100 per day in salary and benefits, on avera~ The bank would like to set a schedule that would minimize its total personnel costs. it wili rerease one or more of-its full-time tellers ifh is profitable to do so. FINANCIAL APPLICATIONS 7_ ICT invest in .short .,.term trade credits, corporate bond~, gold stocks, and construction loans. To encourage a diversified portfolio, the'board of directors has placedlimits on the amount that can be committed to anyone type of investment. leT has $5 million a;ail'able fo~ immediate investments and wishes to do two things: '(1) . ' . maximize the interest earned on (he investme(lts made over the 'next six months, and (2) satisfy the diversification requirements as set by the board-of directors. The specifics of the investment possibilities are as follows: INVESTMENT INTEREST EARkED(%) ' . ,''',':',,'':''':':':'''-'' Trade Credit. .7. ' Y . Corporate bonds G .old stQcks . .. .. . .19 Construction loanS::- MAXIMUM INVESTMENT ($MILlION5) 1.0 2.5 1.5 1)! . . . - - ."... -'. .' '. ~ . . _ -'. ", . -:;_ -:;' __ -~~;:~~':'):.)i :;~;;~f;:;~~;;~_:·_: .': ~"".' '. ,'._ _ . ~_ '_ ' ' -- ':, _ . : . . '. _ ".": .. in addition; the board specifies itiat:aJ 'hhi'~(S~~ _dt:'thifiJri'dsinvested must be in gold stock andc'orisHuction :, loans;. and that no less than 15%b!i inve*Rl; ~".' ' . - - ... - " _.". - . ,lhe. s.al.e~ re .@lrementsforthe next year att'h~"~~;;,i'yoik 'viarE;house' are 10000 bicycles, at theChicgo '--Warehouse-sOOObiCvcl~s, and th~ los'Angeles"",areno'use isooo bicycles. The factory capacit-y at each location is ":limited. Nliirt Qrlean. S ·Fan assemble an ~~'-:'i ( .. ," 38 ". 2.1 ': ,,, .. ' 25 9 " "": 6't./'··"'" 'r,. "" 'J",":'.~ " ~. ," • '.. " , , . ' ... .""'"~. ' .. \ ..... ,"" ,::t: r 'r ;'; . .. ~ 1 ~,,'/'O"< ... J -,? • , .... -.f,'!"'- · ,fl...j'if~:r ;' (1 ' . I •••. >.:-:~ _7.·~j/