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May I please have some help with the attached question? There is no information aside from what is posted. Suppose a nonlinear price discriminating monopoly

May I please have some help with the attached question? There is no information aside from what is posted.

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Suppose a nonlinear price discriminating monopoly can set three prices, depending on the quantity a consumer purchases. The firm's profit is IT = P1 (Q 1 ) + P2 ( Q2 - Q1 ) + P3 ( Q3 - Q2 ) - MQ3 , where p, is the high price charged on the first Q, units (first block), p2 is a lower price charged on the next Q2 - Q, units, p3 is the lowest price charged on the Q3 - Q2 remaining units, Q3 is the total number of units actually purchased, and m = $50 is the firm's constant marginal and average cost. Use calculus to determine the profit-maximizing p1 , P2, and P3. Let demand be p = 150 - Q. The profit-maximizing prices for the nonlinear price discriminating monopoly are p1 = $ , P2 = $ , and P3 = $ . (Enter numeric responses using real numbers rounded to two decimal places.)

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