Let $C(q)$ represent the cost, $R(q)$ the revenue, and $(q)$ the total profit, in dollars, of producing $q$ items.

$($a$)$ If $C^{\text{'}}(50)=74$ and $R^{\text{'}}(50)=83,$ approximately how much profit is earned by the ${51}^{st}$ item?

The profit earned from the ${51}^{st}$ item will be approximately $

$($b$)$ If $C^{\text{'}}(90)=69$ and $R^{\text{'}}(90)=64,$ approximately how much profit is earned by the ${91}^{st}$ item?

The profit earned from the ${91}^{st}$ item will be approximately $

$($c$)$ If $(q)$ is a maximum when $q=78,$ how do you think $C^{\text{'}}(78)$ and $R^{\text{'}}(78)$ compare?

$C^{\text{'}}(78),R^{\text{'}}(78)$

is equal to is less than is more than

Save for Later

Attempts: $0$ of $5$ used