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 $$25,000$ and the variable costs are $$3\mathrm{.}00$ per pizza. Oven B is larger and can handle $42$ 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 $$15\mathrm{.}00$ each.

a) What is the break-even point for each oven?

b) If the owner expects to sell 9,000 pizzas, which oven should she purchase?

c) If the owner expects to sell 12,000 pizzas, which oven should she purchase?

d) At what volume should Janelle switch ovens?