The Canadian Dairy Commission $($CDC$)$ administers the price floor for butter, which was set at $$8$ per kilogram in $2018.$ Use the following additional information to answer the following questions: $1)$ Without the price floor, the equilibrium price of butter is $$7$ per kilogram, and the equilibrium quantity is $137\mathrm{.}2$ million kilograms of butter. $2)$ The supply curve intersects the price axis at $$4\mathrm{.}50$ and the demand curve intersects the price axis at $$10.3)$ At that price, according to data from the CDC$,$ the quantity of butter supplied in $2018$ was $154$ million kilograms, and the quantity demanded was $124\mathrm{.}4$ million kilograms $4)$ To support the price of butter at the price floor, the CDC therefore had to buy up $33\mathrm{.}6$ million kilograms of butter. Suppose the federal government covers the cost of surplus butter using tax revenue, as they do in the United States. As a result, total surplus $($producer plus consumer$)$ is reduced by the amount the CDC spent on buying surplus butter. What is the total surplus when there is a price floor? Do not round your answer. How does this total surplus compare to the total surplus without a price floor from part a$?$ a$)$ The total surplus with the price floor is less than the total surplus without the price floor. b$)$ The total surplus with the price floor is equal to the total surplus without the price floor. c$)$ The total surplus with the price floor is greater than the total surplus without the price floor.