Ex$.3.$

The estimated cost for a multitube cyclone system with a capacity of $60,000$ cubic feet per minute

is $$450,000.$

$($a$)$ If the $$200,000$ actual cost for a $35,000$ cubic feet per minute system was used in the cost$-$capacity

equation, what was the value of the exponent?

$($b$)$ What can be concluded about the economy of scale of the costs between the two systems?