A trucking company transports goods between two cities that are 960 miles apart. The company charges, for each pound, $0.55 per mile for the first 100 miles, $0.40 per mile for the next 300 miles, $0.30 per mile for the next 400 miles, and no charge for the remaining 160 miles.(a) Graph the relationship between the cost of transportation in dollars C(x) and mileage x over the entire 960-mile route.(b) Find the cost as a function of mileage for hauls between 100 and 400 miles from the first city.(c) Find the cost as a function of mileage for hauls between 400 and 800 miles from the first city.