Please add an appropriate explanation to the answer

1. Let's say Samsung Electronics is considering launching Galaxy S24 and S24 Ultra. The willingness to pay for each smartphone by consumer group surveyed by the market research team is as follows.

(a) If Samsung Electronics releases only one smartphone, find the model and optimal price strategy.

(b) Find the optimal pricing strategy when launching both models. What kind of price differentiation does this correspond to? Will Samsung Electronics benefit from launching both models?

(c) Suppose that Fans' willingness to pay rose to 1,100 for S24 and 1,600 for S24 Ultra. Is there a difference in the optimal price strategy at this time? If so, find a new optimal pricing strategy.

\begin{tabular}{|c|c|c|c|} \hline & Galaxy S24 & \begin{tabular}{c} Galaxy S24 \\ Ultra \end{tabular} & \begin{tabular}{c} # of consumers \\ (million) \end{tabular} \\ \hline Fans & 800 & 1,300 & 4 \\ \hline Others & 600 & 750 & 6 \\ \hline Cost & 200 & 300 & \\ \hline \end{tabular}