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The supply function for a commodity is p=316+xp = 3\sqrt{16+x}. If 9 units of goods are sold, then producer's surplus is :

Solution

✅ Correct Option: 1

At x0=9x_0=9, p0=325=15p_0=3\sqrt{25}=15, so revenue =135=135.

∫09316+x dx=2[(16+x)3/2]09=2(125−64)=122\int_0^9 3\sqrt{16+x}\,dx = 2\left[(16+x)^{3/2}\right]_0^9 = 2(125-64)=122.

Producer's surplus =135−122=13=135-122=13.

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