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.
The Western Roman Empire falls in476, leaving the Byzantine Empire as the only Roman state.ï· The Period of Justinian I and his successors (5 27â610 AD): Justinian attempts to reconquer the west, he creates the Justianianic code, andembarks on a great building project including the construction of the HagiaSophia.