Marginal Cost and Marginal Revenue

[Becky4paws]

C(x) is the total cost of producing x units of a commodity and p(x) is the price at which all x units will be sold.

Find marginal cost and marginal revenue.

C(x) = 1/4 x^2 + 43
p(x) = (3+2x)/(1+x)

MC = C'(x) =1/2 x
MR = R'(x) = x[p(x)] = x[(3+2x)/(1+x)]

 

[JakeD]

C(x) is the total cost of producing x units of a commodity and p(x) is the price at which all x units will be sold.

Find marginal cost and marginal revenue.

C(x) = 1/4 x^2 + 43
p(x) = (3+2x)/(1+x)

MC = C'(x) =1/2 x
MR = R'(x) = x[p(x)] = x[(3+2x)/(1+x)]

MC is correct, but MR is not.

Revenue R(x) = x[p(x)]. Marginal revenue is the derivative of that.