Why is reproductive performance so important?

Problem A:

Compare $10$ pigs per litter to $12$ pigs per litter per sow farrowing $2\mathrm{.}4$ times per year.

Assume the pigs are sold at an average market weight of $280lbs.$ and have a $74\%$ dress.

Current market price is $$\frac{67\mathrm{.}00}{?}$ cwt carcass weight. You want to know what will be the difference in your gross income from one sow.

Steps: $($show your work$)$

a$.(1)$ What is the difference in number of pigs in one year?

b$.(2)$ How much difference is there in pounds to sell in one year? $($Need to consider both live and carcass weights.$)$

c$.(1)$ How much difference is there in gross income?

$(1)$ What if you had $1,000$ sows $-$ how much difference would there be in gross income?