A parking facility operates from $8$ a$.$m$.$ to $6$ p$.$m$,$

whereby $20\%$ of those who wish to park are turned

back daily because of lack of space. A total of $200$

vehicles are able to park taily of which $60\%$ park

for an average parking duration of $9$ hours and the

remaining park for an average parring duration of

$2$ hours. From a survey of the vehicles who are

not able to park taily it is known that $20\%$ of

these vehicles desire to park for $9$ hours and the

remaining desire to park for $2$ hours.

If the paring efficiency is $0,9,$ determine:

$($i$)$ the number of affitional space hours required?

$($ii$)$ the adtitional number of parking bays required in

oder to meet excess demand?