Quantitative Methods

Plnas- Q,,rra*ert 8-S / 8- + , g- (?

,------- f ,--, ),o.rrru, ant work scheduling problem)' The la-(\--J

ntr.-rus Y S Chung Rt'stilurilnr ir lrpen 24 hours l day. Waiters and busboys report for rluty at 3 't rt''

7.'r.r,r', I I .t'na'. 3 p"ut ' 7 p'tu'' or 11 p'u'' and each

works an 8-hour shi{i' The following table shows

the minimurn number of workers nceded during the

six periods into which the day is divided' Chang's

scheduling problcrn is to determine ht'ru' many wait-

ers and t usUoyt should report for rvork at tlle start of

cach time period to minimize the total stalf requircd

fcrr one day's operation' (.Hint: Lot X; oqual the nuin-

ber of waiters anil bushoys beginning work in time

Period i. where I : 1,7' 3' 4' 5' 6')

PROBLEMS 315

ingre tlient per pound of feed mix' and costs lbr the

thrce mixcs. In adclition, the stahle owner is awarc that an

overfctl horse is a sluggish worker' Conscqr"rently'

he determines that 6 pounds of f'eed per day are the

most that any horse needs to function properly' For-

mulate this problern and solve tbr the optirlal daily

mix of the three feeds.

8-5 The Kleenglass Corporation makes a dishwasher

It rs ex-

tremely Orders have been d lrom sev-

PERIOD TIME NUMBEROFWAITERS

AND BUSBOYS REQLIRED

-1

12

16

9

11

I

2

3

4

5

6

3 r.rt.-7 r.rt.

7 .r"r'r.-1i .l.rr

I I ,c..rt.*3 P.l\'{.

3 p.u.-7 P.rl.

7 p.tvt.-l I P.ra

1 i p.tu.-3 ,r.trl

June

July

August

195

215

205

Due bc made is $300 can be goes

ited ity, only 200 ol thesc can

produced in a that are not sold in that

(Animalfeed ntix problem) The Batti-:ry Park Stablc

i""0, unO houses the horses used to pull tourist-lillerl carriages through the streets of Charleston's historie

*a,".frnnt area. The stablc owner' an ex-racehorse

trainer, rccognizes the nced to sel a nutritiontrl diet

for the horses in his care' At the same time' he

would like to keep the overall daily cost of feed to a

minimum. The leed mixes available I'or the horses' diet

are an oat product, a highly enrichcd grain' and a

mineral product. Each o1 these mixes contains a cer-

taiu amount of hve ingre<lieuts needed daily to keep

the average horse healthy' The table on this-page

shows these minimum requirements' units ol'cach

v many units to produce in each month on regu-

tirne and on overtime to minimiz-e thc total cost

while mceting the demands'

Ecldie Kelly is running lbr reelection as mayor of a

small town in Alabama. Jcssica Martincz' Kclly's

campaign manager during this clection' is plan-

nin*r the marketing campaign, and there is some

stifi competition. Ir'Iartinez has selected four ways

to advertise: television ads, radio ads' billboards'

Data for Problem 8-4

month ,\ rcgular timc. enrl lhc c()\t Howcr cr. \rr crtra l5 uttits pr'r tntrnlh

il or.e\ime is us,'tl. hut the cost

FEEDMIX

DIET REQUIREMENT

ONGREDIBNTS)

OAT PRODUCT (TNITS/LB)

ENRICHED GRAIN

GTNTTS/t,B)

IIIINERAL PRODUCT (UNITS/LB)

MINIMUMDAILY REQUIREMENT

(uNrrs)

6

2

9

8

5

A

D

C

D

E

Cost/1b

2

0.5

3

1

0.5

$0.09

3

i 5

i.5

0.5

$0.1 4

I

0.5

6

2

t.5

$0. t7

Quantitative Analysis for Management,Twelfth Edition' by Barry Render' Ralph M Stair' Michael E

Copyright O 201 5 by Pearson Education, lnc

Hanna, and Trevor S Hale. Published by Prentice Hall

eral thc ncxt 3 as shown

to 5325 each.

there is a $20 cost this item to the

month. Use linear to determinc