The breakeven point is when revenue equals cost or when the profit is zero. P(x) = R(x) - C(x) = 0. If the profit is zero, then R(x) = C(x) . We will use this equation to find the breakeven point-R(x) = C(x) . 3 x = 50 + 2 x. x = 50. So, the hot dog vendor needs to sell at least 50 hot dogs on a given day to break even.
Justinian I, who took power in 527 and would rule until his death in 565, was the first great ruler of the Byzantine Empire.
Theodora and her court attendants. Justinian made peace with King Khusrho of the Sassanids in 532 AD, which made it possible for him to send Roman troops to reconquer Africa from the Vandals, Italy from the Ostrogoths, and Spain from the Visigoths. We call this the Byzantine Reconquest.