1)The above problem is _________ , therefore ____________. :

a)Unbalanced; add a Dummy Source "S6"

b)Unbalanced; add a Dummy Destination "D6"

c)Balanced; neither add a dummy source or a dummy destination.

d) None of the answers.

2)

The Supply/Demand at the dummy source/destination is :

a)Demand = 5.5

b)Supply = 5

c)Supply = 50

d)Demand = 50

3)

Costs C11, C21, C31, C41, C51, & C61 are respectively *

a)50, 175, 110, 230, 360, 0

b)5.5, 175, 115, 235, 240, 0

c)50, 17.5, 115, 235, 360, 0

d)55, 175, 115, 23.5, 360, 0

4)

The objective function equation of the above transportation model is written as: *

a)minimize z = 100X11 + 80X12 + 60X13 + 124X14 + 201X15 + 28X21 + 186X22 + 96X23 + 213X24 + 128X25 + 180X31 + 108X32 + 100X33 + 291X34 + 88X35 + 174X41 + 222X42 + 246X43 + 273X44 + 92X45 + 288X51 + 220X52 + 174X53 + 218X54 + 180X55 + 0X61 + 0X62 + 0X63 + 0X64 + 0X65

b)minimize z = 10X11 + 40X12 + 18X13 + 100X14 + 108X15 + 35X21 + 21X22 + 59X23 + 112X24 + 85X25 + 23X31 + 67X32 + 31X33 + 63X34 + 72X35 + 47X41 + 115X42 + 57X43 + 41X44 + 89X45 + 120X51 + 72X52 + 9X53 + 99X54 + 51X55 + 0X61 + 0X62 + 0X63 + 0X64 + 0X65

c)minimize z = X11 + X12 + X13 + X14 + X15 + X21 + X22 + X23 + X24 + X25 + X31 + X32 + X33 + X34 + X35 + X41 + X42 + X43 + X44 + X45 + X51 + X52 + X55 + X54 + X55 + X61 + X62 + X63 + X64 + X65

d)None of the answers.

Consider the following example: FoodCo has five plants S1, S2, S3, S4 & 55 and five distribution centers in D1, D2, D3, D4, D5. The following represents the Supply & Demand constraints of the problem: Supply constraints X1 + X1 + X1 + X:4 + Xus = 208 . X. + X: + x2 + x3 + x2 = 178 - X3 + x + x3 + x4 + Xas = 120 X+X+X43+X44 + X45 - 116 . X. + Xsa+ Xsa+X54 + x = 108 Demand constraints 1. + x + x + x4 + X51 - 158 - Xus+Xg+x33 + x4 + Xo = 165 Xua+Xgs + X2 + x4a + Xsa-146 . *1 + x4 + 434 + x4 + x = 145 Xus + xy + xy + x + x3 = 166 The following table represents the distance in Kilometers between the plants and the distribution centers: DI D2 D3 DS D4 100 Si 10 40 18 108 S2 35 21 59 112 85 S3 22 66 30 62 71 S4 46 115 57 41 89 S5 120 71 10 98 50 The truck company will charge FoodCo the following rates: + $5 per ktlometer for distances 50km & 700km