Question

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.

Answer 1

Answer:

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