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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: 1 = P4Q4 + P2 Q2-Q4) + P3 Q3 -Q2) - moz. where p, is the high price charged on the first units Q4 (first block) and P2 is a lower price charged on the next (02-Q1) units and pg is the lowest price charged on the (03-02) remaining units. Q3 is the total number of units actually purchased, and m = $50 is the firm's constant marginal and average cost. Using calculus, determine the profit-maximizing values for PP2, and p3, and the firm's profits. The profit-maximizing value for (round your answers to the nearest penny) Py = $143.75 P2 = $112.5, and P3 = $ 81.25 The firm's profit is $ 5859.375 . B E F G K L M N O P Q C P2 D Q2 H REVENUE Q1 P3 Q3 COST 1 PROFIT 1 P1 2 3 4 5 6 7 9 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 Answer Report 1 Sensitivity Report 1 Limits Report 1 Answer Report 2 Sheet1 + 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: 1 = P4Q4 + P2 Q2-Q4) + P3 Q3 -Q2) - moz. where p, is the high price charged on the first units Q4 (first block) and P2 is a lower price charged on the next (02-Q1) units and pg is the lowest price charged on the (03-02) remaining units. Q3 is the total number of units actually purchased, and m = $50 is the firm's constant marginal and average cost. Using calculus, determine the profit-maximizing values for PP2, and p3, and the firm's profits. The profit-maximizing value for (round your answers to the nearest penny) Py = $143.75 P2 = $112.5, and P3 = $ 81.25 The firm's profit is $ 5859.375 . B E F G K L M N O P Q C P2 D Q2 H REVENUE Q1 P3 Q3 COST 1 PROFIT 1 P1 2 3 4 5 6 7 9 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 Answer Report 1 Sensitivity Report 1 Limits Report 1 Answer Report 2 Sheet1 +