Question:medium
What rebate in price of the calculator should the store give to maximise the revenue?
What rebate in price of the calculator should the store give to maximise the revenue?
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For pricing and revenue problems, calculate the optimal price after determining the maximum quantity sold.
Updated On: Jan 13, 2026
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Solution and Explanation
Step 1: Price Calculation at \( x = 450 \)
Given the price formula:\[p = 450 - \frac{x}{2}\]Substituting \( x = 450 \):\[p = 450 - \frac{450}{2} = 225.\]Step 2: Rebate Calculation
Original price is Rs. 350. The rebate is calculated as:\[\text{Rebate} = 350 - 225 = 125 \, \text{(Rs. per calculator)}.\]Step 3: Conclusion
A rebate of Rs. 125 per calculator is required to maximize revenue.
Given the price formula:\[p = 450 - \frac{x}{2}\]Substituting \( x = 450 \):\[p = 450 - \frac{450}{2} = 225.\]Step 2: Rebate Calculation
Original price is Rs. 350. The rebate is calculated as:\[\text{Rebate} = 350 - 225 = 125 \, \text{(Rs. per calculator)}.\]Step 3: Conclusion
A rebate of Rs. 125 per calculator is required to maximize revenue.
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