Mathematical Modelling Homework

Considering a situation in which two motorists, person A and B, share the same driving route but own different sized vehicles. Person A fills up the vehicle’s tank at a station along normal route for $US"x_1"$ per litre. On the other hand, person B drives an extra $"d"$ kilometres out of his normal route to fill up his vehicle’s tank for US $"x_2"$ per litre where $x_2 < x_1$ .

1) Choose suitable parameters for Person A and B's vehicles. Justify your choices. For this question, What are the parameters?

Are the parameters the choices of the vehicle?:

1- speed - maximmumm speed and acceleration

2- Weight

3- engine output - power and torque

4- Fuel consumption - relationship between fuel and the distance

2) On a spreadsheet, choose several sets of values for $x_1$ , $x_2$ and $d$ to investigate further.

3) Define a set of variables that would be relevant in the above situation.

-