The price$-$demand equation for a particular flashlight is given by

p $=1130\mathrm{.}002$x$,$

where x is the number of flashlights demanded when the price is p dollars each. The flashlight manufacturers will produce no flashlights if the price is $$74$ or less, and they will market $5,500$ flashlights when the price is $$96$ per flashlight. $($Assume the price$-$supply equation is linear.$)$

$($a$)$

Find the consumers' surplus for this commodity.

$

$($b$)$

Find the producers' surplus for this commodity.

$The price$-$demand equation for a particular flashlight is given by

p $=1130\mathrm{.}002$x$,$

where x is the number of flashlights demanded when the price is p dollars each. The flashlight manufacturers will produce no flashlights if the price is $$74$ or less, and they will market $5,500$ flashlights when the price is $$96$ per flashlight. $($Assume the price$-$supply equation is linear.$)$

$($a$)$

Find the consumers' surplus for this commodity.

$

$($b$)$

Find the producers' surplus for this commodity.

$