Make an EES code to help solve part a$-$d of the problem:

$1.)$ An air condition system in Phoenix, AZ$,$ is required to maintain a room at $68$F$,$ while the outside temperature during a hot summer day is $122$F using R$134$a$.$

a$)$ Assume a simple refrigeration cycle, calculate the cycle COP, the cycle refrigeration efficiency, and the minimum power that such machine can need in hp per TR of refrigeration capacity.

b$)$ Plot the variation of the refrigeration effect, the compressor specific work, the cycle COP, and the refrigeration efficiency as a function of the outside temperature $($vary it from $130$F to $80$F$)$ with the constant given room temperature.

c$)$ At night the cycle is reversed, and the air conditioning machine works as a heat pump as the outside temperature drops to $50$F$,$ for the same room set temperature of $68$F$,$ calculate the minimum compressor power in hp$,$ the heat pump COP, and the heat pump efficiency assuming $12000$ Btu$/$hr heating capacity required in the room.

d$)$ Plot the variation of the heat rejection $($kJ$/$kg$),$ the compressor specific work, cycle COP, and the refrigeration efficiency as a function of the outside temperature $($vary it from $60$F to $10$F$)$ with the constant given room temperature.