$(12$ pts$)$ Consider a facility with an annual cooling load of $1,500$MMBtu and heating load of $3,000$MMBtu. The air conditioning system runs $5$ days$/$week$,12$ hours$/$day for $50$ weeks$/$year$.$ Cooling runs for $6$mont$\frac{h}{y}$ear and heating runs $4$ months year. The system uses a vapor compression cycle for cooling and heating $($heat pump$)$: EER$=10,C_{\text{P}\text{e}\text{r}\text{t}}=2\mathrm{.}5.$ Calculate:

a$.$ the energy consumption associated with cooling $($ kWh $).$

b$.$ the energy consumption associated with heating $($kWh$).$