A producer of felt$-$tip pens has received a forecast of demand of $31,000$ pens for the coming month from its marketing department. Fixed costs of $$21,000$ per month are allocated to the felt$-$tip operation, and variable costs are $25$ cents per pen.

a$.$ Find the break$-$even quantity if$.$pens sell for $$1$ each. $($Round your answer to the next whole number.$)$

Answer is complete and correct.

$28,000$ units

b$.$ At what price must pens be sold to obtain a monthly profit of $$18,000,$ assuming that estimated demand materializes? $($Round your answer to $2$ decimal places.$)$

Answer is not complete.