Question

If the demand function is given by p = 1500 – 2x – x² then find the marginal revenue when x = 10.

पर्याय

• 1160

• 1600

• 1100

• 1200

Answer 1

1160

Explanation:

Demand function

P = 1500 – 2x – x² 

∴ Revenue (R) = Px = 1500x – 2x² – x³

∴ Marginal Revenue

MR = `(dR)/dx`

= `d/dx (1500x - 2x^2 - x^3)`

= 1500 – 4x – 3x²

When x = 10

Then (MR)_x=10 = 1500 – 4 × 10 – 3 × 10²

= 1500 – 40 – 300

= 1160