Answered step by step
Verified Expert Solution
Link Copied!

Question

1 Approved Answer

, The question I have is for Part C with the Profit Maximization please show your work and math for this problem How does Lowering

  1. , The question I have is for Part C with the Profit Maximization please show your work and math for this problem
  2. How does Lowering the Price of the Apple watch to $238 (note the original price of $349)
    1. Calculate the Point Price Elasticity of Demand for the AppleWatch (this requires you to show your work, calculate the number and explain the results of the Price Elasticity of Demandin effect, is it elastic or inelastic and whyyou should use the original price and the new price of $238)? (6 Points)

QAW = -150,000 - 2400PAW + 1520PGearS + 1200Pebble - 1200PAPhone6 + 44A

PAW = $349 QAW = 177,200 PGearS = $380Ppebble = $220 PIPhone6 = $299 Advertising Expense = $15,500

To calculate the point price elasticity of demand for the AppleWatch, we need to use the following formula:

Point Price Elasticity of Demand = (PAW/QAW) (dQAW/dPAW)

We know that the original price of the AppleWatch was $349 and the new price is $238. Therefore, the percentage change in price is:

% change in Price = ((New Price - Old Price) / Old Price) x 100 % change in Price = (($238 - $349) / $349) x 100 % change in Price = -31.79%

To calculate the percentage change in quantity demanded, we need to substitute the given values in the demand function:

QAW = -150,000 - 2400PAW + 1520PGearS + 1200Pebble - 1200PAPhone6 + 44A QAW(Old) = -150,000 - 2400($349) + 1520($380) + 1200($220) - 1200($299) + 44($15,500) QAW(Old) = 177,200

QAW(New) = -150,000 - 2400($238) + 1520($380) + 1200($220) - 1200($299) + 44($15,500) QAW(New) = 191,800

% change in Quantity = ((New Quantity - Old Quantity) / Old Quantity) x 100 % change in Quantity = ((191,800 - 177,200) / 177,200) x 100 % change in Quantity = 8.24%

Now, we can calculate the point price elasticity of demand as follows:

Point Price Elasticity of Demand = (PAW/QAW) (dQAW/dPAW) Point Price Elasticity of Demand = (100-120/120)x -31.8% = -1.59

Therefore, the point price elasticity of demand for the AppleWatch is approximately-1.59. Since the absolute value of the point price elasticity of demand is greater than 1, the demand for Apple Watches is elastic. This means that a decrease in price will lead to a greater than proportional increase in the quantity demanded.

  1. Calculate this price reduction on Total Revenue (what is the initial total revenue when the price was $349).Noteuse the demand function to calculate the quantity demanded. (4 Points)

QAW(Old) = -150,000 - 2400($349) + 1520($380) + 1200($220) - 1200($299) + 44($15,500) = 177,200

Total Revenue = Price x Quantity Demanded Total Revenue = $349 x 177,200 Total Revenue = $61,732,800

QAW(New) = -150,000 - 2400($238) + 1520($380) + 1200($220) - 1200($299) + 44($15,500) = 191,800

Total Revenue = Price x Quantity Demanded Total Revenue = $238 x 191,800 Total Revenue = $45,676,400

Therefore, the price reduction to $238 results in a new total revenue of $45,676,400. This represents a decrease of $16,056,400 from the initial total revenue of $61,732,800.

  1. Given a Variable Cost that is provided on Page 5 of the lecture Powerpoint (and not including the sunk/fixed costs) what is the profit maximizing output given a price of $349?(3 points)

Step by Step Solution

There are 3 Steps involved in it

Step: 1

blur-text-image

Get Instant Access to Expert-Tailored Solutions

See step-by-step solutions with expert insights and AI powered tools for academic success

Step: 2

blur-text-image_2

Step: 3

blur-text-image_3

Ace Your Homework with AI

Get the answers you need in no time with our AI-driven, step-by-step assistance

Get Started

Recommended Textbook for

Reimagining Capitalism In A World On Fire

Authors: Rebecca Henderson

1st Edition

1541730151, 9781541730151

More Books

Students also viewed these Economics questions

Question

What is the name of the program?

Answered: 1 week ago