​A buck–boost regulatorhas an input voltage of Vs = 12V. The duty cycle k = 0.25 and the switching frequency is 25 kHz. The inductance L = 150 μH and filter capacitance C = 220 μF. The average load current Ia = 1.25A. Determine

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I need help with a Engineering question. All explanations and answers will be used to help me learn.

(a) the average output voltage, Va;

(b) the peak-to-peak output voltage ripple, ?Vc; 

(c) the peak-to-peak ripple current of inductor, ?I; 

(d) the peak current of the transistor, Ip; and 

(e) the critical values of L and C.