'Mighty Feed' produces animal feed. The fixed monthly cost of production is $$700000$ and the variable cost per bag of feed is $$1200.$ Each bag of feed sells for $$2500.$

$($a$)$ For a monthly volume of $700$ bags, determine the total cost, total revenue and profit

$(6$ points$)$

$($b$)$ Determine the monthly break$-$even volume for 'Mighty Feed' animal feeds.

$(2$ points$)$

$($c$)$ If 'Might Feed' increases its price per bag of animal feed from $2500$ to $2700$ what

is the new break$-$even volume.

$(2$ points$)$