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.