Answer
The claim is valid
Work Step by Step
$COP_{HP}=\dot{Q}_H/\dot{W}_i$
Given $\dot{Q}_H=200\ kW,\ \dot{W}_i=75\ kW$
$COP_{HP}=2.67$
$COP_{HP, max}=\dfrac{1}{1-\frac{T_L}{T_H}}$
With $T_L=273\ K,\ T_H=293\ K$
$COP_{HP, max}=14.7$
Since $COP_{HP} < COP_{HP,max}$, the claim is valid
