A firm is about to undertake the manufacturing of a product, and it is weighing the process configuration options. There are two intermittent processes under consideration, as well as a repetitive focus. The smaller intermittent process has fixed costs of $$3,000$ per month and variable costs of $$10$ per unit. The larger intermittent process has fixed costs of $$12,000$ per month and variable costs of $$2$ per unit. A repetitive focus plant has fixed costs of $$50,000$ per month and variable costs of $$1$ per unit.

a$.$ At what output does the large intermittent process become cheaper than the small one?

b$.$ At what output does the repetitive process become cheaper than the larger intermittent process?