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3.6 · Q5

Q.If the supply function is p=3x2+10p = 3x^2 + 10 and x0=4x_0 = 4, find the producers' surplus.

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At x0=4x_0=4 the supply price is p0=58p_0=58; the producers' surplus is the area between the price line and the supply curve, =p0x0−∫04p dx=₹128=p_0x_0-\int_0^{4}p\,dx=\text{₹}128.

Producers' surplus: PS=p0x0−∫0x0p dx\displaystyle PS=p_0x_0-\int_0^{x_0}p\,dx, where p=g(x)p=g(x) is the supply price, x0x_0 the quantity and p0p_0 the corresponding price.

  1. Given supply p=3x2+10p=3x^2+10 and x0=4x_0=4. …

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