Suppose the revenue from producing (and selling) x units of a product is given by Upper R (x) equals 10 x minus. 04 x squared dollars.

(a) Find the marginal revenue at a production level of 20.

(b) Find the production levels where the revenue is $400.

marginal revenue is - 6

and production levels 200, 50

Explanation:

given data

R (x) = 10 x - 0.04 x²

solution

we have given

R (x) = 10 x - 0.04 x²

so here R' (x) is

R' (x) = 10 (1) - 0.4 (2x)

R' (x) = 10 - 0.8 x ... 1

so here at x is 20 marginal revenue will be

R' (20) = 10 - 0.8 (20)

R' (20) = 10 - 16

R' (20) = - 6

and

when revenue is $400

R (x) = 400

400 = 10 x - 0.04 x²

x = 200, 50