The network which could not carry commercial traffic was the B. ARPANET and this was because it was not intended to carry commercial traffic.
The Advanced Research Projects Agency Network (ARPANET) was the first wide-area packet-switched network with distributed control.
ARPANET was created in 1969 to connect scientific and research users across multiple institutions for collaboration and was one of the first networks to implement the TCP/IP protocol suite.
However, as the network evolved it metamorphosed into a massively large global network based on TCP/IP which we now know as the Internet or the world wide web(WWW).
Hence, the ARPANET was not able to carry commercial traffic.
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The complete question
Which network could NOT carry commercial traffic?
Internet
ARPANET
the World Wide Web
Usenet groups