Suppose a nonlinear price discriminating monopolist faces an inverse demand curve: P = 175 - Q, and can set three prices depending on the quantity a consumer purchases The firm's profit is: T = P1 Q1 + P2 Q2 -Q1 ) + P323 -2) me, where p, is the high price charged on the first units Q (first block) and p, is a lower price charged on the next (Q2-Q1 ) units and p3 is the lowest price charged on the (Q3 - Q2 ) remaining units. @; is the total number of units actually purchased, and m = $75 is the firm's constant marginal and average cost. Using calculus, determine the profit-maximizing values for p1. P2, and p3, and the firm's profits The profit-maximizing value for (round your answers to the nearest penny)