Which of the following statements is/are true?
Statement-I : A company manufactures cassettes. Its cost and revenue functions are
and
, respectively, where
is the number of cassettes produced and sold in a week, then 2000 cassettes must be sold by the company to realise some profit.
Statement-II : The water acidity in a pool is considered normal when the average pH reading of three daily measurements is between 8.2 and 8.5. If the first two pH readings are 8.48 and 8.35 , then the range of pH value for the third reading that will result in the acidity level being normal lies between 7.77 and 8.5.
Text Solution
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Statement-I : Cost function,
and revenue function,
For profit, 


[Dividing by 10 on both sides]

Hence, company should sell more than 2500 cassettes to realise some profit.
Statement-II : We have given, first pH value 
and second pH value 
Let third pH value be
.
Since, average pH values lies between 8.2 and 8.5






Hence, third pH value lies between 7.77 and 8.67
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