$1.$ Calculate the following statistics using the information given.

Herd size $=415$

Cows confirmed pregnant $=390$

Calves weaned $=350$

Average weaning weight $=520$

Annual cow cost $=$ $$580$

Average mature cow weight at BCS of $5=1,350$ lbs$.$

a$.$ Calf Crop $\%=\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_$

b$.$ Breakeven price $=\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_$

c$.$ Pounds of calf weaned per cow exposed $=\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_$

$2.$ What would be the new breakeven prices with the following changes to information above in the previous problem?

a$.$ Calf Crop increases by $7\%.$

New Breakeven price $=\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_$

b$.$ Average weaning weights increased by $65$ lbs$.$

New Breakeven price $=\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_$

$3.$ Use the information from $2$a$.$ to find out what is the largest increase in annual cow cost that can be accepted and still remain at the breakeven price you calculated in $1$b$.?$

$4.$ Answer the following questions for each scenario in calculating the needed gain for developing replacement females. We want to manage these heifers the best way to give them the best chance of breeding early and staying in our cow herd the rest of their productive life.

Cow herd #$1$

Mature cow weight at BCS of $5=1,550$ lbs$.$

Average weaning weight of replacements $(10/15/2022)=575$ lbs$.$

Breeding season for mature cow herd $($April $1$st $$ June $15$th $2023)$

Total gain needed $=\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_$

Average daily gain $=\_\_\_\_\_\_\_\_\_\_\_\_\_\_$

Cow herd #$2$

Mature cow weight at BCS of $5=1,200$ lbs$.$

Average weaning weight of replacements $(5/04/2022)=700$ lbs$.$

Breeding season for mature cow herd $($January $1$st $$ March $15$th $2023)$

Total gain needed $=\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_$

Average daily gain needed $=\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_$