3. A consumer with income I facing prices p x and p y has the following indirect utility function for goods X and Y : \[ V\left(p_{x}, p_{y}, I\right)=\frac{1}{2} p_{y}^{-1 / 2}\left(p_{x}^{1 / 2}+p_{x}^{-1 / 2} I\right) \] a. Derive the consumer's Hicksian demand function for goodX . b. Check that the properties of Hicksian demand functions are satisfied. c. Suppose I=49,P y =1 , and P x =1 . Compute the consumer's compensating variation (CV) and their equivalent variation (EV) for an increase in P y from 1 to 4 . d. Use words and a graph to interpret your CV and EV measures. please solve all parts and provide me the 100% accurate answer