ANS378 Problem Set #3Due Monday Week 10 by 12 pm(Material reviews chap 7, 9, 10, 11, 16, 17, 19)1.A rancher runs a closed herd of breeding cattle. He normally keeps and breeds the top 3%of his bull calves based on individual performance for yearling weight (YW). His siresaverage three years of age when their offspring are born. He is studying two femalereplacement strategies:(Hint: Use the selection intensity chart in your book or slides, also ignore the selectionintensity and generation interval of the sires (males) since it is common to both strategies.)Saving the top 30% of his heifers based on YW (Lf= 5.6 years)Saving the top 60% based on YW (Lf= 2.8 years)a.If h2YW= 0.5, and σPYW= 60 lb, calculate the expected rate of genetic change inyearling weight for each strategy. (2 pts)b.What elements of the key equation is the rancher experimenting with? (1pt)c.Which strategy is increasing the rate of change faster and describe why this seemsto be occuring? (1pt)2.A single progeny record may be misleading, but the average of many progeny recordswill accurately predict a parent’s breeding value. Explain. (2 pts)