Suppose a company has fixed costs of $44,200 and variable cost per unit of 4/9x+222 dollars, where x is the total number of units produced. Suppose further that the selling price of its product is 1556 - 5/9x dollars per unit.

a) Find Break Even Point
b) Find Maximum Revenue (Round your answer to the nearest cent.)
c) Form the profit function P(x) from the cost and revenue functions P(x) =
d) Find Maximum Profit
e) What price will maximize the profit? (Round your answer to the nearest cent.)