Joyamoore123idn
Answered

IDNLearn.com makes it easy to get reliable answers from knowledgeable individuals. Our experts are ready to provide in-depth answers and practical solutions to any questions you may have.

At HD Sport & Fitness gym, analysis shows that, as the demand of the gym, the number of members is 83 when annual membership fee is $17 per member and the number of members is 81 when annual membership fee is $24 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.

Note: Round all coefficients of your revenue function to 2 decimal places.

Sagot :

Francocanacariidn

The price at which revenue is maximized is $ 157, and maximum annual revenue is $ 6751.

Since at HD Sport & Fitness gym, analysis shows that, as the demand of the gym, the number of members is 83 when annual membership fee is $ 17 per member and the number of members is 81 when annual membership fee is $ 24 per member, and the number of members and membership fee have a linear relationship, to determine at what membership price is the maximized revenue, and what is the maximum annual revenue, the following calculations must be performed:

  • 17 x 83 = 1411
  • 24 x 81 = 1944
  • 31 x 79 = 2449
  • 38 x 77 = 2926
  • 66 x 69 = 4554
  • 73 x 67 = 4891
  • 80 x 65 = 5200
  • 94 x 61 = 5734
  • 101 x 59 = 5959
  • 122 x 53 = 6466
  • 129 x 51 = 6579
  • 150 x 45 = 6750
  • 157 x 43 = 6751
  • 164 x 41 = 6724

Therefore, the price at which revenue is maximized is $ 157, and maximum annual revenue is $ 6751.

Learn more in https://brainly.com/question/11663530

We value your presence here. Keep sharing knowledge and helping others find the answers they need. This community is the perfect place to learn together. Your questions are important to us at IDNLearn.com. Thanks for stopping by, and come back for more reliable solutions.