containing the pricing parameters provided by the gas supplier for the upcoming qua samples of hourly demands from the previous year. a) Let C. be the random variable given by -CE (9F + q: - X=) C: = CFqF + cq+ + max + (X. - (qF + qt)) c# (X. - (qF + q )) + (c# - c#) (Xt - at (9p + Show that the random variable C, models the hourly costs correctly, i.e., it is it pricing scheme described verbally above. HINT: Write an inequality stating th most term inside the max operator is greater than the middle term. Then solve the X, and q + q, for which this inequality holds. Now write an inequality statin middle term is greater than the bottom term and solve the values of X, and which this inequality holds. It is safe to assume that 0