The estimated monthly sales of Mona Lisa paint-by-number sets is given by the formula $q = 120 e ^ { p - \frac { 5 p ^ { 2 } } { 2 } }$
Where q is the demand in monthly sales and p is the retail price in yen. At what price will revenue be a maximum Round the answer to the nearest hundredth.

A)66.99 yen
B) 0.56 yen
C) 0.78 yen
D) 0.99 yen
E) 1.22 yen

Question

The estimated monthly sales of Mona Lisa paint-by-number sets is given by the formula   $q = 120 e ^ { p - \frac { 5 p ^ { 2 } } { 2 } }$  
Where q is the demand in monthly sales and p is the retail price in yen. At what price will revenue be a maximum  Round the answer to the nearest hundredth.
 
A)66.99 yen
B) 0.56 yen
C) 0.78 yen
D) 0.99 yen
E) 1.22 yen

Quizplus · Accepted Answer

The Answer of The estimated monthly sales of Mona Lisa paint-by-number sets is given by the formula   $q = 120 e ^ { p - \frac { 5 p ^ { 2 } } { 2 } }$  
Where q is the demand in monthly sales and p is the retail price in yen. At what price will revenue be a maximum  Round the answer to the nearest hundredth.
 
A)66.99 yen
B) 0.56 yen
C) 0.78 yen
D) 0.99 yen
E) 1.22 yen

The Estimated Monthly Sales of Mona Lisa Paint-By-Number Sets Is q=120ep−5p22q = 120 e ^ { p - \frac { 5 p ^ { 2 } } { 2 } }q=120ep−25p2​

The Estimated Monthly Sales of Mona Lisa Paint-By-Number Sets Is $q = 120 e ^ { p - \frac { 5 p ^ { 2 } } { 2 } }$