For the problem below, what is the quantity assigned to the cell Source $3-$Destination $1$ using the intuitive method for an initial feasible solution? $[$Blank$1]$

CostsDest $1$Dest $2$Dest $3$SupplySource $121350$Source $247540$Source $3312630$Demand$504525$

$120/120$

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Group of answer choices

$45$

$30$

$50$

$3$

$13\mathrm{.}33$

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Dest. $1$

Dest. $2$

Dest. $3$

SUPPLY

Raw Material Source $1$

$6$

$8$

$9$

$300$

Raw Material Source $2$

$4$

$7$

$3$

$700$

DEMAND

$500$

$500$

$500$

$1500\backslash 1500$

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The firm has identified five potential sites for a third raw material source:

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Costs

Dest. $1$

Dest. $2$

Dest. $3$

Candidate A

$7$

$15$

$6$

Candidate B

$12$

$12$

$5$

Candidate C

$13$

$4$

$10$

Candidate D

$12$

$8$

$8$

Candidate E

$6$

$10$

$11$

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The new source, wherever it is located, will have a capacity of $500$ units. Solve with the transportation method. Which site should be selected?

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Group of answer choices

Candidate E

Candidate D

Candidate A

Candidate C

Candidate B

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Dest. $1$

Dest. $2$

Dest. $3$

SUPPLY

Source $1$

$2$

$5$

$9$

$20$

Source $2$

$4$

$1$

$10$

$40$

Source $3$

$3$

$12$

$6$

$60$

DEMAND

$50$

$45$

$25$

$120\backslash 120$

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Group of answer choices

$30$

$0$

$45$

$50$

$5$