The estimated marginal revenue for sales of ESU soccer team T-shirts is given by
$R ^ { \prime } ( p ) = \frac { ( 6 - 2 p ) e ^ { - p ^ { 2 } + 7 p } } { 5,000,000 }$
Where p is the price (in dollars) the soccer player charge for each shirt. Find $R ^ { \prime } ( 2 ) , R ^ { \prime } ( 3 ) , R ^ { \prime } ( 5 )$ .

Select the correct answer rounded to four decimal places.

Question

The estimated marginal revenue for sales of ESU soccer team T-shirts is given by 
 $R ^ { \prime } ( p ) = \frac { ( 6 - 2 p ) e ^ { - p ^ { 2 } + 7 p } } { 5,000,000 }$  
Where p is the price (in dollars) the soccer player charge for each shirt. Find $R ^ { \prime } ( 2 ) , R ^ { \prime } ( 3 ) , R ^ { \prime } ( 5 )$ .
 
Select the correct answer rounded to four decimal places.

Quizplus · Accepted Answer

To find $R'(p)$ for specific values of $p$, we substitute $p = 2$, $p = 3$, and $p = 5$ into the given formula and calculate the results, rounding to four decimal places.

The Estimated Marginal Revenue for Sales of ESU Soccer Team R′(p)=(6−2p)e−p2+7p5,000,000R ^ { \prime } ( p ) = \frac { ( 6 - 2 p ) e ^ { - p ^ { 2 } + 7 p } } { 5,000,000 }R′(p)=5,000,000(6−2p)e−p2+7p​

The Estimated Marginal Revenue for Sales of ESU Soccer Team $R ^ { \prime } ( p ) = \frac { ( 6 - 2 p ) e ^ { - p ^ { 2 } + 7 p } } { 5,000,000 }$