You are the owner of a local car dealership. Unlike other dealerships in the area, you take pride in your “no-haggle” sales policy. Last year, your dealership earned record profits of $1 million. In your market, you compete against two other dealers, and the market-level price elasticity of demand for midsized Honda automobiles is −1.5. In each of the last five years, your dealership has sold more midsized automobiles than any other dealership in the nation. This entitled your dealership to an additional 20 percent off the manufacturer’s suggested retail price (MSRP) in each year. Taking this into account, your marginal cost of a midsized automobile is $12,000.
I need a detailed explanation with formulas and comments
Thank you
As the owner of a local car dealership, your commitment to a “no-haggle” sales policy sets you apart from competitors in your market. This strategy has helped your dealership achieve record profits of $1 million last year. To sustain this success, it is crucial to determine the optimal price for midsized Honda automobiles, considering market demand elasticity and cost factors.
The market-level price elasticity of demand for midsized Honda automobiles is given as -1.5. This means that for every 1% increase in price, the quantity demanded will decrease by 1.5%. Understanding price elasticity is essential because it informs us about how changes in price affect total revenue.
Formula for Price Elasticity of Demand: Price Elasticity of Demand (PED) = (% Change in Quantity Demanded) / (% Change in Price)
To maintain profits, you need to find the price that maximizes total revenue, as total revenue directly impacts profitability.
Total Revenue (TR) = Price (P) x Quantity (Q)
To find the price that maximizes total revenue, we can use the concept of marginal cost and marginal revenue. Marginal cost is the additional cost incurred when producing one more unit, while marginal revenue is the additional revenue generated from selling one more unit.
In this scenario, your dealership’s marginal cost of a midsized automobile is $12,000.
The formula for Marginal Revenue (MR) is: MR = ΔTR / ΔQ
To maximize total revenue, you should set MR equal to the marginal cost (MC):
MR = MC
Now, let’s incorporate the price elasticity of demand (-1.5) into the MR formula:
MR = P * (1 + 1/|PED|)
Where PED is the absolute value of the price elasticity of demand (|PED| = 1.5).
So, MR = P * (1 + 1/1.5) = P * (1 + 2/3) = P * 5/3
Now, set MR equal to MC:
P * 5/3 = $12,000
Solve for P:
P = ($12,000 * 3) / 5 = $7,200
Therefore, to maintain your record profits, you should charge a price of $7,200 for a midsized Honda automobile.
By setting the price at $7,200, you are aligning your pricing strategy with the concept of price elasticity of demand. This price maximizes total revenue, as it balances the increase in price with the decrease in quantity demanded based on the elasticity (-1.5). Maintaining a “no-haggle” policy ensures transparency and consistency in pricing, which can build trust with customers and contribute to the sustained success of your dealership.
In conclusion, understanding price elasticity of demand and using the MR = MC principle allows you to determine an optimal price of $7,200 for midsized Honda automobiles, helping you maintain your record profits while offering a no-haggle pricing experience to your customers.
As a renowned provider of the best writing services, we have selected unique features which we offer to our customers as their guarantees that will make your user experience stress-free.
Unlike other companies, our money-back guarantee ensures the safety of our customers' money. For whatever reason, the customer may request a refund; our support team assesses the ground on which the refund is requested and processes it instantly. However, our customers are lucky as they have the least chances to experience this as we are always prepared to serve you with the best.
Plagiarism is the worst academic offense that is highly punishable by all educational institutions. It's for this reason that Peachy Tutors does not condone any plagiarism. We use advanced plagiarism detection software that ensures there are no chances of similarity on your papers.
Sometimes your professor may be a little bit stubborn and needs some changes made on your paper, or you might need some customization done. All at your service, we will work on your revision till you are satisfied with the quality of work. All for Free!
We take our client's confidentiality as our highest priority; thus, we never share our client's information with third parties. Our company uses the standard encryption technology to store data and only uses trusted payment gateways.
Anytime you order your paper with us, be assured of the paper quality. Our tutors are highly skilled in researching and writing quality content that is relevant to the paper instructions and presented professionally. This makes us the best in the industry as our tutors can handle any type of paper despite its complexity.
Recent Comments