A state charges polluters an annual fee of $10 per ton for each ton of pollutant emitted into the atmosphere, up to a maximum of 5,000 tons. No fees are charged for emissions beyond the 5,000-ton limit. Write a piecewise definition of the fees F(x) charged for the emission of x tons of pollutant in a year. What is the limit of F(x) as x approaches 5,000 tons? As x approaches 14,000 tons? Write the piecewise definition of the fees F(x) charged for the emission of x tons of pollutant in a year. F(x)= if 0 < x 5,000 if x> 5,000 (Simplify your answers.) Find the limit of F(x) as x approaches 5,000 tons. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. lim F(x)=$ (Type an integer or a decimal.) x-5,000 B. The limit does not exist. Find the limit of F(x) as x approaches 14,000 tons. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. . lim F(x)=$ (Type an integer or a decimal.) x-14,000 OB. The limit does not exist.