Develop an efficient and automatic embedded system for washing machine. The machine depends on the water, washer shampoo, and clothes. It works as follow: 

• If there is no water, then it doesn't operate.
• If there are no clothes, then it doesn't operate.
• If there is no washer shampoo but there is full water and Medium clothes, then it operates for full time.
• if there is washer shampoo but there is full water and Medium clothes, then it operates for half time.
• If there is washer shampoo but there is full water and low clothes, then it operates for short time. Otherwise, operate the machine for three quarters of the time. 

1. Perform a complete analysis for the required system.
2. Find the system equations and implement the required digital circuit of the system.
3. Design and implement the system using Arduino embedded system
4. How you can enhance the memory usage and power dissipation for the system?