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प्रश्न
The demand function of a commodity x is given by Qx = 20 − 3Px. Find out the values of Px when corresponding values of Qx are given as: 5, 8, 11 and 14.
संख्यात्मक
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उत्तर
Rearrange the demand function to find price: \[ P_x = \frac{20-Q_x}{3} \]
| Quantity demanded (Qx) | Price (Px) |
|---|---|
| 5 | ₹ 5 |
| 8 | ₹ 4 |
| 11 | ₹ 3 |
| 14 | ₹ 2 |
\[ \begin{aligned} Q_x=5:\quad &P_x=\frac{20-5}{3}=₹5\\[6pt] Q_x=8:\quad &P_x=\frac{20-8}{3}=₹4\\[6pt] Q_x=11:\quad &P_x=\frac{20-11}{3}=₹3\\[6pt] Q_x=14:\quad &P_x=\frac{20-14}{3}=₹2 \end{aligned} \]
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