A state charges polluters an annual fee of $10 per ton for each ton of pollutant emitted into the atmosphere, up to a maximum of 7,000 tons. No fees are charged for emissions beyond the 7,000-ton limit. Write a piecewise definition of the fees F(x) charged for the emission of x tons of pollutant in a year. What is the limit of F (x) as x approaches 7,000 tons? As x approaches 10,000 tons? Write the piecewise definition of the fees F(x) charged for the emission of x tons of pollutant in a year, 10x if 0 - x5 7,000 F(x) = 70,000 if x > 7.000 (Simplify your answers.) Find the limit of F(x) as x approaches 7,000 tons. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. YA. lim F(x) =$ 70,000 (Type an integer or a decimal.) X-+7,000 O B. The limit does not exist. Find the limit of F(x) as x approaches 10,000 tons. Select the correct choice below and, if necessary, fillin the answer box to complete your choice. OA. lim F(x) =$ (Type an integer or a decimal.) X- 10,000 O B. The limit does not exist