Problem $2$: A Carnot heat pump cycle is executed in a steady flow system with R$134$a flowing at a specified rate $m^{}=0\mathrm{.}264K\frac{g}{s}.$ The system is designed such that heat rejected to the high$-$temperature reservoir through a constant$-$pressure process is maximized. The net power input is equal to $7$ Kw and the ratio of maximum to minimum temperatures is $1\mathrm{.}25.$ Find the ratio of maximum to minimum pressures.