Suppose a company has fixed costs of $26,000 and variable cost per unit of -x + 222 dollars, where x is the total number of units produced. Suppose further that the selling price of its product is 1,248 - -x dollars per unit. (a) Form the cost function and revenue function (in dollars). C(X) = R (X ) = Find the break-even points. (Enter your answers as a comma-separated list. ) X = (b) Find the vertex of the revenue function. ( x , y ) = Identify the maximum revenue. $ (c) Form the profit function from the cost and revenue functions (in dollars). P ( X ) = Find the vertex of the profit function. ( x, y ) = Identify the maximum profit. (d) What price will maximize the profit? $