$1.$Find the consumers' surplus if the demand function is $p=100-q$ and the sale price is $20.$

$2.$Find the consumers' surplus if the demand function is $p=10-2q^{\frac{1}{3}}$ and the sale price is $6.$

$3.$Find the producers' surplus if the supply function is $p=100+q$ and the sale price is $200.$

$4.$Find the producers' surplus if the supply function is $p=100+3\sqrt[\phantom{2}]{q}$ and the sale price is $124.$

$5.$The annual sales by Nintendo from April $2004$ to April $2010$ can be modeled by $R(t)=-14\mathrm{.}5t^3+38t^2+380t+510$ billion yen per year, where $t$ is time in years since April $2004.$ Estimate Nintendo's total revenue from April $2006$ to April $2010.$

$6.$The annual revenue earned by Target for years $2004$ to $2010$ can be approximated by $R(t)=41e^{\mathrm{.}094t}dt,$ where $t$ is the number of years since $2004.$ Estimate Target's total revenue from $2006$ to $2010.$