On a day when the outdoor temperature is \(35^{\circ} \mathrm{C}\), a walkin freezer in a butcher shop where there is no airconditioning must remove \(3000 \mathrm{~J}\) of thermal energy from its interior each second to maintain an interior temperature of \(-4^{\circ} \mathrm{C}\).

(a) What is the maximum coefficient of performance of cooling of the heat pump in the freezer?

(b) What would this maximum coefficient be if the freezer were installed in the shop's basement, where the air temperature is \(19^{\circ} \mathrm{C}\) ?

(c) How much energy could the owner save in a day by installing the freezer in the basement? .