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Define production facilities to three customer groups

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Reference no: EM131712437

You are assigned to arrange the shipment of 150 containers from three production facilities to three customer groups. The supplies and demands are shown below along with the associated costs:
Destination
Sources. 1. 2. 3. Supply
A. $2 $5. $6. 50
B. $9. $3. $7. 50
C. $1. $8. $4. 50
Demand. 20. 70. 60

Which of the following is an objective function for the problem? ( XA1 is the quantity sent from source A to Destination 1).
A. Min Z = 50XA1+50XA2+50XA3+ 20XC1 + 70XC2 + 60XC3
B. min Z= 2XA1+5XA2+6XA3+9XB1+ 3XB2+7XB3+XC1+8XC2+4XC3
C. Max Z= 2XA1+5XA2+6XA3+9XB1+3XB2+7XB3+XC1+8XC2+4XC3
D. Max Z= 20XA1+70XA2+ 60XA3+ 50XC1+50XC2+50XC3
E. none of the above

Which of the following is a constraint for the suppliers (producers)?
A. 2XA1+5XA2+6XA3 <= 50
B. 9XA1+3XA2+7XA3<= 50
C. XA1+XA2+XA3<= 50
D. XA1+XB1+XC1<= 20
E. all the above.

Reference no: EM131712437

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