The unit cost, in dollars, to produce bins of cat food is $20 and the fixed cost is $11088. The revenue function, in dollars, is R(x)=2x2+320x\displaystyle {R}{\left({x}\right)}=-{2}{x}^{{2}}+{320}{x}

Find the cost function.
C(x)=\displaystyle {C}{\left({x}\right)}=
 

Find the profit function.
P(x)=\displaystyle {P}{\left({x}\right)}=  

At what quantity is the smallest break-even point?


Ruddy Somali kitten age two and half months
Julia Shepeleva, Wikimedia Commons