Assertion (A): If a manufacturer can sell x items at a price of (5 - x 100 ) each. The…
Mathematics · Class 12 · CBSE — Application Of Derivatives
Assertion (A): If a manufacturer can sell \(x\) items at a price of \(\left(5 - \dfrac{x}{100}\right)\) each. The cost price of \(x\) items is \(\left(\dfrac{x}{5} + 500\right)\). Then, the number of items he should sell to earn maximum profit is \(240\) items.
Reason (R): The profit for selling \(x\) items is given by \(\dfrac{24}{5}x - \dfrac{x^2}{100} - 300\).
- Both (A) and (R) are true and (R) is the correct explanation of (A).
- Both (A) and (R) are true but (R) is not the correct explanation of (A).
- (A) is true but (R) is false.
- (A) is false but (R) is true.
Answer
(C) (A) is true but (R) is false.
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