Question: 14 Consider the transportation data set for a distribution problem below. From to Dest 1 Dest 2 Dest 3 Dest 4 Total Supply Plant

14

Consider the transportation data set for a distribution problem below.

From \ to

Dest 1

Dest 2

Dest 3

Dest 4

Total Supply

Plant 1

$14

$15

$12

$11

130

Plant 2

$10

$16

$7

$23

80

Plant 3

$19

$8

$12

$24

105

Total Demand

80

75

90

65

In this linear programming model, the objective function should be written as . . .

Maximize 14x11 + 15x12 +12x13 + 11x14 + 10x21 + 16x22 + 7x23 + 23x24 + 19x31 + 8x32 + 12x33 + 24x34

Minimize 14x11 + 15x12 +12x13 + 11x14 + 10x21 + 16x22 + 7x23 + 23x24 + 19x31 + 8x32 + 12x33 + 24x34

Maximize x11 + x12 + x13 + x14 + x21 + x22 + x23 + x24 + x31 + x32 + x33 + x34

Minimize x11 + x12 + x13 + x14 + x21 + x22 + x23 + x24 + x31 + x32 + x33 + x34

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