$($a$)$ According to the model, is there a price above which consumers will no longer purchase fans? Explain why or why not.

The model is exponential and $---$Select$---$crosses$$does not cross the horizontal axis. Therefore there $---$Select$---$is a price$$is no price above which consumers will not purchase a ceiling fan.

$($b$)$ Calculate the amount that consumers are willing and able to spend to purchase $18$ thousand ceiling fans. $($Round your answer to three decimal places.$)$

$ thousand

$($c$)$ How many fans will consumers purchase when the market price is $$100?($Round your answer to three decimal places.$)$

thousand fans

$($d$)$ Find the consumers' surplus when the market price is $$100.($Round your answer to three decimal places.$)$

$ thousand