Question

The total revenue (in dollars) from the sale of a toasters isR(x) = 50 - 0.1x^2Evaluate the marginal revenue at the following values:(A) R'(400)(B) R'(650)

Answer 1

Given the function

`R(x)=50-0.1x^2`

Then, R'(x) is:

`R^(\prime)(x)=-2(0.1)x^(2-1)=-0.2x`

Therefore:

A) R'(400)

`R^(\prime)(400)=-0.2(400)=-80`

Answer: - $80

B) R'(650)

`R^(\prime)(650)=-0.2(650)=-130`

Answer: -$130