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.
527 Justinian I becomes the sole ruler of the Byzantine Empire. 1086 Results of the Domesday inquiry presented to William the Conqueror in Salisbury (the date of compilation and the Great Domesday are historically contestable) 1774 Joseph Priestley, English theologian, chemist and author discovers oxygen.