Question $3$ Manatee Splash has received a demand forecast for next month for $1,800,000$ bottles. Fixed costs are $$30,\frac{000}{?}$ month and variable costs are $50$ cents a bottle.

$3\mathrm{.}1$ What is the break$-$even quantity if each bottle sells for $75$ cents? $(20$ points$)$

$3\mathrm{.}2.$ Based on the given demand of $1,800,000$ bottles, at what price should she sell for a profit of $$50,000\mathrm{.}00?(20$ points$)$