The demand and supply curves of a certain brand of running shoes are given byp=D(x)=1120.04x, andp=S(x)=0.06x+42,

wherepis the price in dollars andx is the quantity sold.

A tax of $2.00 will be imposed on the producer for each pair of the running shoes sold. Answer the following:

(a) The new supply function isp=S(x)=_____.

The new equilibrium quantity isx_E=____, and the new equilibrium price isp_E=_____. (Round to 1 decimal place.)

(b) The producer's surplus at that demand is $.

(c) The consumers' surplus at that demand is $.

(d) The total surpluses at that demand is $.