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.
first of emperor of Byzantine emperor that regains Western part of Roman empire, rebuilds and beautifies Constantinople, ordered the creation of the Justinian code Theodora Justinian's wife who used to be a dancer in the circus and was a Monophysite, empress that influenced her husband to give more rights to women, led reforms in social services, advocated for public works, and increased the rights of women