The other portion of the land is a car park that will have only taxi and bus. Taxis are allowed 100m² and buses are allowed 200m² and there is only 500m² of parking space available. Not more than 40 vehicles are allowed at a time. There are always both types of vehicles and at most 15 taxis are allowed at a time. The parking fee for taxis is UGX5,000 and that of a bus is UGX8,000. Each bus carries 78 passengers when full. The bus has a total of 30 seats, some of the seats are for 3 passengers and others are for 2 passengers. Task: (a) Find the dimensions of the portion of the parking space for the motorcycles. (b) How many vehicles of each type should be parked in the parking lot to maximize income? (c) (d) Determine the number of seats for the three passengers and for the two passengers. In your view what precautions should be taken when putting in place the parking lot.​