The city of Mos-Espa lies at the west end of a railroad. To the east, there are one hundred miles of plains along which there are several towns all connected to Mos - Espa by the rail line. To the west of Mos-Espa are fifty miles of mountains, whose small villages are connected by a few winding dirt roads. The only factory in the region is in Mos - Espa. It produces widgets at a cost of $8 per unit at the factory door. Thanks to the rail line, the transport cost to anywhere cast of Mos-Espa is $0.2 per mile. Given the poor state of the roads through the mountains, the transport costs to anywhere west of Mos-Espa is $0.40 per mile. In reality, one of the key inputs for widgets is easier for the residents of the eastern plains to acquire. For all remaining parts of the problem, assume that the cost of making widgets at home anywhere east of Mos-Espa is actually $18, and the cost of making widgets at home is $24 anywhere west of Mos-Espa. C) Now what is the market area for the factory? (That is, how many miles west of Mo-Espa will it stretch, and how many miles east of Mos-Espa will it stretch?) Show your work. (1 point) The owners of the factory would like its market area to extend more broadly, and they are considering two investment options: • First, they could help the government of the region finance the upgrading and paving of the mountain roads, which would reduce the transport costs west of Mos-Espa to only $0.20 per mile. (The transportation costs east of Mos-Espa would stay at $0.2 per mile.) . Second, they could purchase and install in expensive new equipment in the factory that would reduce the cost of a widget at the factory door to only $6 per unit. Each of these options would cost exactly the same, and the owners of the factory can choose only one of these options. Assume that potential customers for widgets are distributed evenly across the entire 150-mile region. D) How many additional miles (on either side of Mos-Espa) would be added to the factory's market area under the first investment option of upgrading and paving the mountain roads? Show your work. (1 point)