Given
The total revenue in dollars from the sale of a toasters is:
[tex]R(x)\text{ = 120x - 0.5x}^2[/tex]The marginal revenue R'(x) is the first derivative of the total revenue
[tex]R^{\prime}(x)\text{ = 120 - x}[/tex](a) R'(100)
The value of the marginal revenue at 100 can be obtained by substitution:
[tex]\begin{gathered} R^{\prime}(100)\text{ = 120 - 100} \\ =\text{ 20} \end{gathered}[/tex]Answer: 20
(b) R'(450)
The value of the marginal revenue at 450 is obtained by substitutionubstit
[tex]\begin{gathered} R^{\prime}(450)\text{ = 120 - 450} \\ =\text{ -330} \end{gathered}[/tex]Answer: -330