Refer to Figure $8-10.$ Suppose the government imposes a tax that reduces the quantity sold in the market after the tax to Q$2.$ Without the tax, the producer surplus is

Group of answer choices

$($P$5-0)$ x Q$5.$

$1/2$ x $($P$8-0)$ x Q$2.$

$($P$8-0)$ x Q$2.$

$1/2$ x $($P$5-0)$ x Q$5.$