new high$-$tech amusement park will be established in Hawar Island in Bahrain in cooperation with Disney Land Inc. All games in "Hawar Amusement Park vill be connected through Fiber cables and high$-$speed switches. The network administrator of the park has been instructed to use a block of addresses $99\mathrm{.}67\mathrm{.}12\mathrm{.}0/24$ for the games$/$hosts$.$ It is required to have $85$ hosts in each subnet taking into consideration the network and broadcast addresses. a$.$ If we have $85$ hosts $($game machines$)$ to be installed in the park, how many bits are needed on the host portion of the assigned address to accommodate them? b$.$ What is the total number of IP addresses that can be used in each subnet? c$.$ What is the maximum number of subnets that could be created in the park? d$.$ What is the prefix length $(/$n$)$ and subnet mask IP for the created subnets? e$.$ What are the network addresses of all proposed subnets?