Janelle Heinke, the owner of Ha'Peppas!, is considering a new oven in which to bake the firm's signature dish, vegetarian pizza. Oven type A can handle $20$ pizzas an hour. The fixed costs associated with oven A are $$20,000$ and the variable costs are $$2\mathrm{.}50$ per pizza. Oven B is larger and can handle $44$ pizzas an hour. The fixed costs associated with oven $B$ are $$32,500$ and the variable costs are $$1\mathrm{.}00$ per pizza. The pizzas sell for $$14\mathrm{.}00$ each.

a$)$ The break$-$even point in units for oven type $A=1,739$ units $($round your response to the nearest whole number$).$

The break$-$even point in units for oven type $B=$ units $($round your response to the nearest whole number$).$