The figure below shows the nodes $($A$$I$)$ and capacities $($labelled on arcs in packages$/$day$)$ of a shipping network. The firm would like to know how many packages per day can flow from node A to node I.

The figure shows nodes from A to I and capacities between the nodes in packages per day of a shipping network. Between nodes A and B the capacity is of $20$ terabytes per second. Between nodes B and D the capacity is of $11$ terabytes per second. Between nodes D and G the capacity is of $23$ terabytes per second. Between nodes G and I the capacity is of $14$ terabytes per second. Between nodes B and E the capacity is of $21$ terabytes per second. Between nodes A and C the capacity is of $25$ terabytes per second. Between nodes C and F the capacity is of $14$ terabytes per second. Between nodes F and H the capacity is of $14$ terabytes per second. Between nodes H and I the capacity is of $10$ terabytes per second. Between nodes C and E the capacity is of $14$ terabytes per second. Between nodes E and I the capacity is of $13$ terabytes per second.

Note: This question requires Solver.

Formulate the problem in Solver and find the optimal solution. At maximum capacity, what will be the flow between nodes B and E$?$

Question $17$ options:

$9$ packages$/$day

$11$ packages$/$day

$16$ packages$/$day

$21$ packages$/$day

$26$ packages$/$day