Module 5 – Competition and Differentiation Flashcards
A monopolistic coffee producer discovers that 30% of the people in the region are willing to pay $15 for a pound of coffee, another 25% are willing to pay $20, and the remaining 45% are only willing to pay $12. The cost of producing each pound of coffee is $10. How much should the monopolist charge for each pound of coffee?
- $10
- $12
- $15
- $20
$10
At a price of $10, the monopolist will sell coffee to everyone in the region, but will not make any profit since the cost of each pound of coffee sold is also $10.
$12
At a price of $12, the monopolist will sell coffee to everyone in the region. Since the cost of each pound of coffee is $10, the monopolist will make $2 on every pound it sells. Thus profit will be equal to $2 multiplied by the number of people in the region.
$15
At a price of $15, the monopolist will not sell coffee to the 45% of people who are only willing to pay $12, so 55% of people in the region will buy coffee. Since the cost of each pound of coffee is $10, the monopolist will make $5 on every pound it sells. Thus profit will be equal to $5 multiplied by 55% multiplied by the number of people in the region. This is equal to $2.75 multiplied by the number of people in the region. This is the greatest amount of profit.
$20
At a price of $20, the monopolist will only sell coffee to 25% of the region. Since the cost of each pound of coffee is $10, the monopolist will make $10 on every pound it sells. Thus profit will be equal to $10 multiplied by 25% multiplied by the number of people in the region. Thus profit will be equal to $2.50 multiplied by the number of people in the region.
The monopolistic coffee producer runs a very effective advertisement promoting its coffee and discovers that everyone in the region is now willing to pay double what they were before! Thus, 30% of the people in the region are willing to pay $30 for a pound of coffee, another 25% are willing to pay $40, and the remaining 45% are only willing to pay $24. The cost of producing each pound of coffee is still $10. How much should the monopolist charge for each pound of coffee?
- $10
- $24
- $30
- $40
$10
At a price of $10, the monopolist will sell coffee to everyone in the region, but will not make any profit since the cost of each pound of coffee sold is also $10.
$24
At a price of $24, the monopolist will sell coffee to everyone in the region. Since the cost of each pound of coffee is $10, the monopolist will make $14 on every pound it sells. Thus profit will be equal to $14 multiplied by the number of people in the region. This is the greatest amount of profit.
$30
At a price of $30, the monopolist will not sell coffee to the 45% of people who are only willing to pay $24, so 55% of people in the region will buy coffee. Since the cost of each pound of coffee is $10, the monopolist will make $20 on every pound it sells. Thus profit will be equal to $20 multiplied by 55% multiplied by the number of people in the region. This is equal to $11 multiplied by the number of people in the region.
$40
At a price of $40, the monopolist will only sell coffee to 25% of the region. Since the cost of each pound of coffee is $10, the monopolist will make $30 on every pound it sells. Thus profit will be equal to $30 multiplied by 25% multiplied by the number of people in the region. Thus profit will be equal to $7.50 multiplied by the number of people in the region.
A dairy farmer is a monopolist in the milk industry and is currently selling milk at the profit maximizing price. As a result of a terrible storm, the dairy farmer sees an increase in cost of feed for the cows. At the same time, the dairy farm receives an insurance check which effectively lowers the fixed costs of the farm. What effect will this cost change have on the optimal price of milk the farmer sets?
- The change in costs does not impact the profit maximizing price and quantity sold for the dairy farmer.
- The increase in variable costs will decrease the optimal price that should be set by the farmer.
- The increase in variable costs will increase the optimal price that should be set by the farmer.
- The impact on price cannot be determined due to some costs increasing, and other costs decreasing.
The change in costs does not impact the profit maximizing price and quantity sold for the dairy farmer.
A monopolist should set prices to where marginal revenue is equal to marginal cost. If marginal cost changes, then the monopolist will no longer be pricing where marginal revenue equals marginal cost.
The increase in variable costs will decrease the optimal price that should be set by the farmer.
If variable (marginal) costs increase, marginal revenue will now be lower than marginal cost. By lowering the price, the monopolist is further decreasing marginal revenue and thus marginal revenue will still be lower than marginal cost.
The increase in variable costs will increase the optimal price that should be set by the farmer.
If variable (marginal) costs increase, marginal revenue will now be lower than marginal cost. Thus the monopolist must increase the price it charges until marginal revenue is equal to marginal cost.
The impact on price cannot be determined due to some costs increasing, and other costs decreasing.
A monopolist should set prices so that marginal revenue is equal to marginal cost. If marginal cost changes, then the monopolist will no longer be pricing where marginal revenue equals marginal cost. Fixed costs play no role in determining how a business should price once it is already in the industry.
Suppose a firm faces the demand and marginal cost shown below, and has incurred a fixed cost of $10,000. What is the profit maximizing price?
Price $:
$15
Monopolists maximize profit by pricing where marginal revenue equals marginal cost. This occurs on the graph above where the blue line (MR) intersects the black line (MC) at a quantity of 1,000. To find the profit-maximizing price, find the price at which 1,000 will be the quantity demanded. This price is $15 and is the profit-maximizing price.
The profit-maximizing price is $15 from the previous example. What is the profit of the monopolist given that the firm incurred a fixed cost of $10,000?
Price $:
$0
Profit is equal to revenue minus costs. Revenue here is equal to $15 * 1,000 = $15,000. Costs are equal to $5 * 1,000 = $5,000 in variable costs, plus $10,000 in fixed costs, totaling $15,000 in costs. Thus profit is equal to $15,000 - $15,000 = $0.
The following table shows two HBS Online participants’ WTP for Taylor Swift tickets, Patriots tickets, and monthly Facebook access. It also shows the cost for each item:
A company, BuyMore, has bought the Patriots, Facebook, and Taylor Swift’s concert agency. If Nisha and Andrew are the only two consumers, what do you think is the profit-maximizing pricing strategy for BuyMore to implement for these three products? (Take your best guess, the calculations will be done out in the following exercises.)
- A fixed price for each good
- A bundle of goods
- A two-part tariff
- By the revenue equivalence theorem, all three of the above pricing strategies will achieve the same profit.
A fixed price for each good
A fixed price will leave a lot of surplus to the consumer when consumers have very different willingness to pay.
A bundle of goods
Bundles are most effective when consumer willingness to pay is very different across different goods, as is the case here.
A two-part tariff
A two-part tariff is generally for a single good which is bought at various quantities, as opposed to many different goods with different costs.
By the revenue equivalence theorem, all three of the above pricing strategies will achieve the same profit.
The revenue equivalence theorem applies to different auction formats, not pricing strategies.
Consider the previous example:
What bundling strategy should BuyMore implement?
- Sell all three products in a bundle for $265.
- Sell all three products in a bundle for $260.
- Sell the tickets together for $255 and sell Facebook access for a fixed price of $10.
- Sell the tickets together for $245 and sell Facebook access for a fixed price of $10.
Sell all three products in a bundle for $265.
At a price of $265, Nisha will not buy the bundle because her willingness to pay is only $260. This would leave her $260 of uncaptured surplus.
Sell all three products in a bundle for $260.
At this price, both customers will buy the bundle and only $5 of surplus is not captured by BuyMore. This is the $5 extra that Andrew would have been willing to pay for the bundle.
Sell the tickets together for $255 and sell Facebook access for a fixed price of $10.
At a price of $255, Nisha will not buy the ticket bundle because her willingness to pay is only $245. This would leave her $245 of surplus uncaptured. An additional $5 of Nisha’s surplus would not be captured due to the fixed price of $10 for Facebook access, since she is willing to pay $15.
Sell the tickets together for $245 and sell Facebook access for a fixed price of $10.
At a price of $245, both customers will buy the bundle and only $10 of surplus is not captured from that bundle. This is the $10 extra that Andrew would have been willing to pay for the bundle. An additional $5 of Nisha’s surplus would not be captured due to the fixed price of $10 for Facebook access, since she is willing to pay $15.
Consider the previous example:
If BuyMore sells all three products in a bundle for $260, what will be their profit?
Price $:
$430
At a price of $260, BuyMore will sell two bundles. BuyMore will also incur the cost for each item twice, one for each bundle. Thus profits are: $260 * 2 – ($20 + $25 + $0) * 2 = $520 - $90 = $430
Consider the previous example:
If BuyMore sells each product separately, what prices should it use?
- $35 for Taylor Swift Tickets, $85 for Patriots Tickets, and $10 for Facebook Access.
- $160 for Taylor Swift Tickets, $85 for Patriots Tickets, and $10 for Facebook Access.
- $160 for Taylor Swift Tickets, $85 for Patriots Tickets, and $15 for Facebook Access.
- $160 for Taylor Swift Tickets, $220 for Patriots Tickets, and $10 for Facebook Access.
- $160 for Taylor Swift Tickets, $220 for Patriots Tickets, and $15 for Facebook Access.
$35 for Taylor Swift Tickets, $85 for Patriots Tickets, and $10 for Facebook Access.
Profits will be ($35 * 2 - $20 * 2) + ($85 * 2 - $25 * 2) + ($10 * 2 - $0 * 2) = $170
$160 for Taylor Swift Tickets, $85 for Patriots Tickets, and $10 for Facebook Access.
Profits will be ($160 - $20) + ($85 * 2 - $25 * 2) + ($10 * 2 - $0 * 2) = $280
$160 for Taylor Swift Tickets, $85 for Patriots Tickets, and $15 for Facebook Access.
Profits will be ($160 - $20) + ($85 * 2 - $25 * 2) + ($15 - $0) = $275
$160 for Taylor Swift Tickets, $220 for Patriots Tickets, and $10 for Facebook Access.
Profits will be ($160 - $20) + ($220 - $25) + ($10 * 2 - $0 * 2) = $355
$160 for Taylor Swift Tickets, $220 for Patriots Tickets, and $15 for Facebook Access.
Profits will be ($160 - $20) + ($220 - $25) + ($15 - $0) = $350
Consider the previous example:
For which pricing system was profit greater?
- The fixed price system
- The bundled pricing system
The fixed price system
See correct answer for explanation.
The bundled pricing system
Total profit was $430, more than the $355 from the fixed pricing system.
In a major city, there is currently only one health insurance provider, CityHealth. CityHealth’s insurance network covers two-thirds of the city’s hospitals and private health practices. (Insurance networks are a network of healthcare providers that offer discounted rates to patients with a specific insurance.) A new insurance company, HealthWay, is considering entering the city. If both insurance companies are able to adjust prices, which of the following is HealthWay’s best strategy?
- Imitate CityHealth’s insurance network and charge a slightly lower price to capture the entire market.
- Differentiate by creating a network that covers the third of the city’s healthcare providers that are not covered by CityHealth.
Imitate CityHealth’s insurance network and charge a slightly lower price to capture the entire market.
If CityHealth is able to adjust prices, then they will simply lower their price slightly below HealthWay’s price. Since the companies are so similar, this price lowering will continue until both companies are pricing at their variable costs. This will result in zero profits for both companies and potential losses due to fixed costs.
Differentiate by creating a network that covers the third of the city’s healthcare providers that are not covered by CityHealth.
By differentiating, HealthWay is targeting a different segment of consumers and will not be directly competing with CityHealth in price. As a result, a price war is less likely to occur and profits can be sustained.
Consider the previous example of CityHealth and HealthWay. Suppose insurance companies are unable to adjust prices easily due to government regulation and long-term plans with fixed prices. Does this new information change the optimal strategy for HealthWay?
- Yes, HealthWay should now imitate CityHealth’s insurance network and charge a slightly lower price to capture the entire market.
- No, HealthWay should still differentiate by creating a network that covers the third of the city’s healthcare providers that are not covered by CityHealth.
Yes, HealthWay should now imitate CityHealth’s insurance network and charge a slightly lower price to capture the entire market.
If CityHealth is unable to adjust prices, then they will not be able to lower prices to compete with HealthWay. Since the companies are so similar, this price lowering will result HealthWay capturing the entire market.
No, HealthWay should still differentiate by creating a network that covers the third of the city’s healthcare providers that are not covered by CityHealth.
While it is still true that by differentiating, a price war is less likely to occur and profits can be sustained, these profits will be less than the expected profits of capturing the entire market via imitation.
Consider the previous example of CityHealth and HealthWay. Suppose HealthWay imitated CityHealth and captured the market by offering a lower price. Now suppose CityHealth has developed the ability to adjust their prices, resulting in a price war between the two companies. Which of the following could allow CityHealth to be profitable? Select all that apply.
- Customers feel a connection with and have a long history with CityHealth.
- CityHealth has established connections with healthcare providers in the city that allow them to negotiate better rates and lower their costs.
- CityHealth paid less for the construction of their headquarters in the city than HealthWay did.
- The majority of CityHealth customers are not willing to switch insurance providers for minor cost-savings.
Customers feel a connection with and have a long history with CityHealth.
This could raise the willingness to pay for CityHealth insurance, allowing CityHealth to win in a price war.
CityHealth has established connections with healthcare providers in the city that allow them to negotiate better rates and lower their costs.
Having lower variable costs allows CityHealth to price lower than HealthWay in a price war and thus remain profitable.
CityHealth paid less for the construction of their headquarters in the city than HealthWay did.
Fixed costs have no impact on the pricing strategies of the two companies. Thus having lower fixed costs will not allow CityHealth to win a price war and remain profitable.
The majority of CityHealth customers are not willing to switch insurance providers for minor cost-savings.
If this is true, CityHealth will be able to retain a portion of its customers through its incumbent advantage.
A monopolist bakery is currently selling its cupcakes for $10 and the quantity demanded is 50. If the monopolist lowers its price to $9, it will have a quantity demanded of 80. Which of the following could be the marginal cost of producing a cupcake if the monopolist is maximizing profits at a price of $10?
- $3
- $7
- $8
- $11
$3
If the marginal cost of producing a cupcake is $3, then the monopolist would make gross margin of $9*80 - $3*80 = $480 selling at $9. This is greater than the gross margin made selling at $10, which are $10*50 - $3*50 = $350. Thus selling at $9 would be better for the monopolist.
$7
If the marginal cost of producing a cupcake is $7, then the monopolist would make gross margin of $9*80 - $7*80 = $160 selling at $9. This is greater than the gross margin made selling at $10, which are $10*50 - $7*50 = $150. Thus selling at $9 would be better for the monopolist.
$8
If the marginal cost of producing a cupcake is $8, then the monopolist would make gross margin of $9*80 - $8*80 = $80 selling at $9. This is less than the gross margin made selling at $10, which are $10*50 - $8*50 = $100. Thus selling at $10 is better for the monopolist.
$11
If the marginal cost of producing a cupcake is $11, then the monopolist would make gross margin of $10*50 - $11*50 = a loss of $50. Thus selling at $10 cannot be best for the monopolist because it is selling below marginal cost.
Consider the following table which shows the willingness to pay of HBS Online staff for successive quantities of cake slices.
The variable cost to produce a slice of cake is $1. The bakery wants to implement a two-part tariff. What per-unit-price should the bakery charge?
Price $:
The per-unit charge should be equal to the per-unit cost, which in this case is $1.