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{.}00$ per pizza. Oven B is larger and can handle $40$ pizzas an hour. The fixed costs associated with oven B are $$30,000$ and the variable costs are $$1\mathrm{.}25$ per pizza. The pizzas sell for $$14\mathrm{.}00$ each.

a$)$ The break$-$even point in units for oven type $A=$ 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$).$

b$)$ If Janelle is expecting that the pizza shop is going to be able to sell $9,000$ pizzas, then she should select oven

c$)$ If Janelle is expecting that the pizza shop is going to be able to sell $12,000$ pizzas, then she should select oven

d$)$ The volume at which Oven A and Oven B have the same cost $($crossover point$)$ and Janelle would be indifferent $=$ pizzas $($round your response to the nearest whole number$).$