Hello kindly solve this LP problem without software use thank you!

Given the fuel shortage problem in Lebanon, MTC touch has hired you to help them with the allocation of reception towers within Beirut. - Reception towers have two modes of operations: low power mode and normal power mode. Lower power mode can serve up to a total of 6500 people, Normal power mode can serve up to a total of 10000 people. - The cost for operating the reception tower is $700 per week in low power mode, $1000 per week in normal power mode. If not operated, the cost of operation is $0. - Assume Beirut can be split into 25 adjacent areas with the approximate population size in the following table: - The above table also shows how the areas are adjacent. For example, Area 2,6 and 7 are adjacent to Area 1. - Every area can be covered by a reception tower in it, or an area adjacent to it. Assume one tower only exists per area. Formulate the problem as a linear program (or integer linear program). Label your decision variables clearly