We consider a monocentric city represented by a segment x [0,x_f ] where 0 stands for the CBD where everybody works and earns a uniform (exogenous) urban wage w > 0 and x_f is the city fringe. The rural wage a is normalized to zero. Agents located at a distance x from the CBD pay a rent R(x). The utility of an agent is her disposable income.

Fixed commuting cost

1.1 Private transportation Agents drive to the CBD and incur a fixed commuting cost c_c > 0 per unit of distance.

1. Find the general formula for R(x) and x_f .

2. What is the impact of each parameter of the model on these two outcomes?

3. Graph the rent function if c_c = 4 and w = 100.

please answer each question part clearly.