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Business, 13.04.2021 02:40 bellapimienta8

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:.
1. Minimize x11 + x12 + x13 + x14 + x21 + x22 + x23 + x24 + x31 + x32 + x33 + x34
2. Maximize 14x11 + 15x12 +12x13 + 11x14 + 10x21 + 16x22 + 7x23 + 23x24 + 19x31 + 8x32 + 12x33 + 24x34
3. Minimize 14x11 + 15x12 +12x13 + 11x14 + 10x21 + 16x22 + 7x23 + 23x24 + 19x31 + 8x32 + 12x33 + 24x34
4. Maximize x11 + x12 + x13 + x14 + x21 + x22 + x23 + x24 + x31 + x32 + x33 + x34
Part B:
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
Which of the following is true about the supply constraints in this problem?
1. There are 3 supply constraints.
2. One of the supply constraints is x21 + x22 + x23 + x24<= 80
3. One of the supply constraints is x12 + x22 + x32 <= 90
4. One of the supply constraints is x21 + x22 + x23 + x24 >=80
5. One of the supply constraints is x12 + x22 + x32 = 90
6. There are 4 supply constraints.

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