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Suppose that during the most recent fiscal year, the annual revenue of Acme Computer was 138 billion dollars and its net profit was 8 billion dollars, the annual revenue of Nadir Software was 87 billion dollars and its net profit was 5 billion dollars, and the annual revenue of Quixote Media was 111 billion dollars and its net profit was 13 billion dollars. Determine the truth value of each ofthese propositions for the most recent fiscal year.

  1. Quixote Media had the largest annual revenue.
  2. Nadir Software had the lowest net profit and Acme Computer had the largest annual revenue.
  3. Acme Computer had the largest net profit or Quixote Media had the largest net profit.
  4. If Quixote Media had the smallest net profit, then Acme Computer had the largest annual revenue.
  5. Nadir Software had the smallest net profit if and only if Acme Computer had the largest annual revenue.
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  1. False. Because, Annual revenue of Acme Computer was $138$ billion dollars which was largest.
  2. True. Because, Nadir Software had the lowest net profit $= 5$ billion dollars which was lowest among three and annual revenue of Acme Computer was $138$ billion dollars which was greatest among three.So, Both parts of the statement is true which makes whole statement true.
  3. True. Because net profit of Quixote Media was $13$ billion dollars which was largest, So, this part of the whole statement is true which makes whole statement as True statement.
  4. True. Because, Acme Computer had the largest annual revenue = 138 which is true statement and Quixote Media had the smallest net profit which is false statement. So, False $\rightarrow$ True is True.
  5. True. Because, Nadir Software had the smallest net profit = $5$ billion dollars and Acme Computer had the largest annual revenue = $138$. So, both statements are true and True $\Leftrightarrow$True is True.
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