Name: MPM 2D0 - Assignment #5 - Quadratic Word Problems Read all instructions carefully. Include concluding statements for each question. 1. An online, music service called Peach Music, can sell 600 new subscriptions every week at $6.00 per new subscription. The manager is considering increasing the price. A marketing survey showed that for every $0.50 increase in price, there would be 30 fewer new subscriptions. MUSIC If x is the number of price increases and R is the revenue in dollars, this situation can be modelled by the following equation: R = -15x² + 120x + 3600 a) What price should they set per subscription in order to obtain the maximum weekly revenue, and b) How many subscriptions will they sell in order to achieve this maximum revenue? Calculate the necessary values by first completing the square. Show all work.

Intermediate Algebra
10th Edition
ISBN:9781285195728
Author:Jerome E. Kaufmann, Karen L. Schwitters
Publisher:Jerome E. Kaufmann, Karen L. Schwitters
Chapter9: Functions
Section9.2: Functions: Their Graphs And Applications
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Please I need help with this quadratic word problem
Name:
MPM 2D0 - Assignment #5 - Quadratic Word Problems
Read all instructions carefully. Include concluding statements for each question.
1. An online, music service called Peach Music,
can sell 600 new subscriptions every week
at $6.00 per new subscription. The manager is considering increasing the price.
A marketing survey showed that for every $0.50 increase in price,
there would be 30 fewer new subscriptions.
MUSIC
If x is the number of price increases and R is the revenue in dollars,
this situation can be modelled by the following equation:
R = -15x2 + 120x + 3600
a) What price should they set per subscription in order to obtain the maximum weekly
revenue, and
b) How many subscriptions will they sell in order to achieve this maximum revenue?
Calculate the necessary values by first completing the square. Show all work.
Transcribed Image Text:Name: MPM 2D0 - Assignment #5 - Quadratic Word Problems Read all instructions carefully. Include concluding statements for each question. 1. An online, music service called Peach Music, can sell 600 new subscriptions every week at $6.00 per new subscription. The manager is considering increasing the price. A marketing survey showed that for every $0.50 increase in price, there would be 30 fewer new subscriptions. MUSIC If x is the number of price increases and R is the revenue in dollars, this situation can be modelled by the following equation: R = -15x2 + 120x + 3600 a) What price should they set per subscription in order to obtain the maximum weekly revenue, and b) How many subscriptions will they sell in order to achieve this maximum revenue? Calculate the necessary values by first completing the square. Show all work.
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