Modeling Fuel Economy simplified analysis of a certain vehicle indicates that its fuel economy can be modeled by a 2d order polynomial of the form y Ax+Bx+C,where y fuel economy (in miles per gallon, mpg) x speed (in miles per hour, mph) In the graph below, A- -0.004, B-0.45, and C-16. The graph indicates that the maximum fuel economy occurs at a speed of about 56 mph. Fuel Economy vs Speed 29.00 27 5.00 23.00 2 1.00 19 00 17.00 15.00 20 30 50 60 70 80 Speed (mpg Program Requirements: Write a C++ program to perform various calculations related to the fuel economy of a vehicle where the fuel economy is modeling using a polynomial of the form y Ax2+ Bx+ C, where fuel economy in miles per gallon (mpg) x-speed in miles per hour (mph) In particular 1. Inputs: The user should be prompted to input the following information. The values for coefficients A, B, and C used to model the fuel efficiency .The capacity of the fuel tank (in gallons). The current amount of fuel in the tank (in gallons). The current speed of the vehicle (in mpg) The distance to be travelled on the current trip (in miles) The cost per gallon for gasoline The minimum speed, Smin, to be used in the table of Fuel Economy vs Speed The maximum speed, smax, to be used in the table of Fuel Economy vs Speed The speed increment, sinc, to be used in the table of Fuel Economy vs Speed