A store has been selling calculators at ₹ 350 each. A market survey indicates that a reduction in price (p) of calculator increases the number of units (x) sold. The relation between the price and quantity sold is given by the demand function $p = 450 - \frac{1}{2}x$. Based on the above information, answer the following questions: (i) Determine the number of units (x) that should be sold to maximise the revenue $R(x) = xp(x)$. Also, verify the result. (ii) What rebate in price of calculator should the store give to maximise the revenue?

Year	Paper Code	Set	Position
CBSE 2024	Series Other	Set 1	Question 36
CBSE 2024	Series Other	Set 1	Question 38
CBSE 2024	Series Other	Set 1	Question 37

• Step 1: Stating the fundamental formula / law statement (+1 Mark)
• Step 2: Intermediate mathematical substitution or proof steps (+1 Mark)
• Step 3: Correct final value or conclusion with mandatory SI units (+1 Mark)