Rosalita, aged 20, purchases a whole life policy paying 5000 the first year and increasing by 5000 per year thereafter. She pays annual premiums at the beginning of each year of Jf for the first 10 years and 3Xthereafter. Express in commutation functions each of the following:

(a) The value ofJ^

(b) The reserve just after the first premium payment.

(c) The terminal reserve at age 25.

(d) The terminal reserve at age 50.