zachutnat4o

2021-11-14

At HD Sport and Fitness gym, analysis shows that, as the demand of the gym, the number of members is 86 when
annual membership fee is $25 per member and the number of members is 84 when annual membership fee is
$33 per member. As the operator of the gym, you found out that number of members (q) and membership fee
(p) have a linear relationship.

A) At what membership price, p , is the revenue maximized?

$p=$

Round your answer to 2 decimal places.

B) What is the maximum annual revenue?

$R=$ .

Round your answer to 2 decimal places.

A) At what membership price, p , is the revenue maximized?

Round your answer to 2 decimal places.

B) What is the maximum annual revenue?

Round your answer to 2 decimal places.

breisgaoyz

Beginner2021-11-15Added 14 answers

We find for (a)

$R\left(p\right)=\frac{-5}{2}+240p$

$\frac{-5}{2}\cdot {\left(86\right)}^{2}+240p$

$\frac{-5}{2}\cdot 7396+240$

We find for (b)

$R=\left(q\right)=\frac{2}{5}\cdot {q}^{2}+96p$

$=\frac{2}{5}\cdot {\left(84\right)}^{2}+96q$

$\frac{2}{5}\cdot 7056+96q$

We find for (b)