I received the linear regression results and know that the demand function is Q = 39.057
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Question:
I received the linear regression results and know that the demand function is Q = 39.057 – 2.461(Price). We are also given this chart-
Price | Number of Subscribers (Thousands) | Cost of License Fees (Thousands) | Divisional Sales, General and Administrative Costs (Thousands) | Total Revenue = Price x Number of Subcribers -(Thousands) | Total Cost = Cost of License + Div. Sales, Gen, and Admin. Costs (Thousands) | Profit = TR-TC (Thousands) |
$5.00 | 29.974 | $134.88 | $14.50 | $149.87 | $149.38 | $0.49 |
$5.50 | 29.256 | $131.65 | $14.50 | $160.91 | $146.15 | $14.76 |
$6.00 | 17.822 | $80.20 | $14.50 | $106.93 | $94.70 | $12.23 |
$6.50 | 22.657 | $101.96 | $14.50 | $147.27 | $116.46 | $30.81 |
$7.00 | 19.897 | $89.54 | $14.50 | $139.28 | $104.04 | $35.24 |
$7.50 | 16.671 | $75.02 | $14.50 | $125.03 | $89.52 | $35.51 |
$8.00 | 20.492 | $92.21 | $14.50 | $163.93 | $106.71 | $57.22 |
$8.50 | 20.000 | $90.00 | $14.50 | $170.00 | $104.50 | $65.50 |
$9.00 | 19.760 | $88.92 | $14.50 | $177.84 | $103.42 | $74.42 |
$9.50 | 17.123 | $77.05 | $14.50 | $162.67 | $91.55 | $71.11 |
$10.00 | 12.644 | $56.90 | $14.50 | $126.44 | $71.40 | $55.04 |
$10.50 | 12.785 | $57.53 | $14.50 | $134.24 | $72.03 | $62.21 |
$11.00 | 12.216 | $54.97 | $14.50 | $134.38 | $69.47 | $64.91 |
We are told that the current product sells for $9.75 / month, that there are 15,059 subscribers and revenue is 146,823.
We are asked to estimate price sensitivity at the current price and determine how low product should be price along with the potential revenue using the DEMAND EQUATION which is Q = 39.057 – 2.461(Price) from the linear regression ran on our data.
Related Book For
Managerial Economics Theory Applications and Cases
ISBN: 978-0393912777
8th edition
Authors: Bruce Allen, Keith Weigelt, Neil A. Doherty, Edwin Mansfield
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