Question:
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: June 02, 2025
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Solution and Explanation
Step 1: Calculate the price at \( x = 450 \)
The price is given by: \[ p = 450 - \frac{x}{2} = 450 - \frac{450}{2} = 225. \]
Step 2: Compute the rebate
The original price is Rs. 350. The rebate is: \[ \text{Rebate} = 350 - 225 = 125 \, \text{(Rs. per calculator)}. \]
Step 3: Final result
The rebate required to maximise the revenue is Rs. 125 per calculator.
The price is given by: \[ p = 450 - \frac{x}{2} = 450 - \frac{450}{2} = 225. \]
Step 2: Compute the rebate
The original price is Rs. 350. The rebate is: \[ \text{Rebate} = 350 - 225 = 125 \, \text{(Rs. per calculator)}. \]
Step 3: Final result
The rebate required to maximise the revenue is Rs. 125 per calculator.
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