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

the answer is "b.the increased supply will create a surplus. "

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