The management of a firm wants to introduce a new product. The product will sell tor $$5$ a unit and can be produced by either of two scales of operation. In the first, total costs are

$TC=$$$2,500+$$$3\mathrm{.}2Q.$

$2$

In the second scale of operation, total costs are

$TC=$$$4,100+$$$2\mathrm{.}7Q$

a$.$ What is the break$-$even level of output for each scale of operation? Round your answers to the nearest whole number.

b$.$ What will be the firm's profits for each scale of operation if sales reach $3,200$ units? Round your answers to the nearest dollar.

Break even level scale $1$:

Break even level scale $2$:

Profits scale $1$:

Profits scale $2$: