The demand function of a transistor is √4850 - 5p. If the price of a transistor is Rs. 250, find the demand.

The demand function for the transistor is given by:

\[
D(p) = \sqrt{4850} - 5p
\]

Where:
- \( D(p) \) is the demand,
- \( p \) is the price.

We are given that the price of the transistor, \( p = 250 \). To find the demand at this price, substitute \( p = 250 \) into the demand function:

\[
D(250) = \sqrt{4850} - 5(250)
\]

First, calculate \( \sqrt{4850} \):

\[
\sqrt{4850} \approx 69.64
\]

Now substitute this value into the equation:

\[
D(250) = 69.64 - 1250
\]

\[
D(250) \approx -1180.36
\]

The demand at a price of Rs. 250 is approximately \(-1180.36\).

Since demand cannot be negative in this context, this result suggests that at a price of Rs. 250, the demand for the transistor is effectively zero or non-existent.

Would you like a detailed explanation of the steps or any clarification?

Here are 5 related questions:
1. How would the demand change if the price decreased to Rs. 200?
2. What is the maximum price at which the demand becomes zero?
3. Can you determine the price at which the demand will be positive?
4. How does the demand function affect pricing strategy?
5. What other factors might influence the demand besides price?

**Tip**: Always check the result of a demand function—if the demand is negative, this may imply the price is too high for any significant demand.

Learn how to calculate demand using the demand function √4850 - 5p for a price of Rs. 250. This problem involves key mathematical concepts such as demand functions, square roots, and linear equations. Suitable for students in Grades 9-12.

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